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Finding the Fourth Proportional to 5,609, 7,740.52 and 3,125

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Solution

The fourth proportional to 5,609, 7,740.52 and 3,125 is: 4,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609 : 7,740.52 = 3,125 : x
  2. Step 2: Convert to fraction form
    5,609/7,740.52 = 3,125/x
  3. Step 3: Cross multiply
    5,609x = 7,740.52 × 3,125
  4. Step 4: Simplify right side
    5,609x = 24,189,125
  5. Step 5: Solve for x
    x = 24,189,125/5,609
  6. Step 6: Final answer
    x = 4,312.56

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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.