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Finding the Fourth Proportional to 4,237.88, 6,355.54 and 1,604.50

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Solution

The fourth proportional to 4,237.88, 6,355.54 and 1,604.50 is: 2,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.88 : 6,355.54 = 1,604.50 : x
  2. Step 2: Convert to fraction form
    4,237.88/6,355.54 = 1,604.50/x
  3. Step 3: Cross multiply
    4,237.88x = 6,355.54 × 1,604.50
  4. Step 4: Simplify right side
    4,237.88x = 10,197,424.13
  5. Step 5: Solve for x
    x = 10,197,424.13/4,237.88
  6. Step 6: Final answer
    x = 2,406.26

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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.