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Finding the Fourth Proportional to 3,752.16, 5,625 and 2,292.30

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Solution

The fourth proportional to 3,752.16, 5,625 and 2,292.30 is: 3,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.16 : 5,625 = 2,292.30 : x
  2. Step 2: Convert to fraction form
    3,752.16/5,625 = 2,292.30/x
  3. Step 3: Cross multiply
    3,752.16x = 5,625 × 2,292.30
  4. Step 4: Simplify right side
    3,752.16x = 12,894,187.50
  5. Step 5: Solve for x
    x = 12,894,187.50/3,752.16
  6. Step 6: Final answer
    x = 3,436.47

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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.