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Finding the Fourth Proportional to 4,927.71, 7,392.78 and 4,384.01

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Solution

The fourth proportional to 4,927.71, 7,392.78 and 4,384.01 is: 6,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.71 : 7,392.78 = 4,384.01 : x
  2. Step 2: Convert to fraction form
    4,927.71/7,392.78 = 4,384.01/x
  3. Step 3: Cross multiply
    4,927.71x = 7,392.78 × 4,384.01
  4. Step 4: Simplify right side
    4,927.71x = 32,409,984.48
  5. Step 5: Solve for x
    x = 32,409,984.48/4,927.71
  6. Step 6: Final answer
    x = 6,577.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.