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Finding the Fourth Proportional to 6,441,299.54, 8,889,011.82 and 3,688,029.22

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Solution

The fourth proportional to 6,441,299.54, 8,889,011.82 and 3,688,029.22 is: 5,089,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441,299.54 : 8,889,011.82 = 3,688,029.22 : x
  2. Step 2: Convert to fraction form
    6,441,299.54/8,889,011.82 = 3,688,029.22/x
  3. Step 3: Cross multiply
    6,441,299.54x = 8,889,011.82 × 3,688,029.22
  4. Step 4: Simplify right side
    6,441,299.54x = 32,782,935,329,085.38
  5. Step 5: Solve for x
    x = 32,782,935,329,085.38/6,441,299.54
  6. Step 6: Final answer
    x = 5,089,490.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.