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Finding the Fourth Proportional to 4,172.49, 5,762.34 and 3,610.26

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Solution

The fourth proportional to 4,172.49, 5,762.34 and 3,610.26 is: 4,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.49 : 5,762.34 = 3,610.26 : x
  2. Step 2: Convert to fraction form
    4,172.49/5,762.34 = 3,610.26/x
  3. Step 3: Cross multiply
    4,172.49x = 5,762.34 × 3,610.26
  4. Step 4: Simplify right side
    4,172.49x = 20,803,545.61
  5. Step 5: Solve for x
    x = 20,803,545.61/4,172.49
  6. Step 6: Final answer
    x = 4,985.88

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