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Finding the Fourth Proportional to 5,578.48, 7,686 and 3,712.24

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Solution

The fourth proportional to 5,578.48, 7,686 and 3,712.24 is: 5,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.48 : 7,686 = 3,712.24 : x
  2. Step 2: Convert to fraction form
    5,578.48/7,686 = 3,712.24/x
  3. Step 3: Cross multiply
    5,578.48x = 7,686 × 3,712.24
  4. Step 4: Simplify right side
    5,578.48x = 28,532,276.64
  5. Step 5: Solve for x
    x = 28,532,276.64/5,578.48
  6. Step 6: Final answer
    x = 5,114.70

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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.