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Finding the Fourth Proportional to 5,437.48, 7,497.92 and 4,109.08

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Solution

The fourth proportional to 5,437.48, 7,497.92 and 4,109.08 is: 5,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.48 : 7,497.92 = 4,109.08 : x
  2. Step 2: Convert to fraction form
    5,437.48/7,497.92 = 4,109.08/x
  3. Step 3: Cross multiply
    5,437.48x = 7,497.92 × 4,109.08
  4. Step 4: Simplify right side
    5,437.48x = 30,809,553.11
  5. Step 5: Solve for x
    x = 30,809,553.11/5,437.48
  6. Step 6: Final answer
    x = 5,666.15

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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.