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Finding the Fourth Proportional to 5,480, 7,568.88 and 3,708.53

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Solution

The fourth proportional to 5,480, 7,568.88 and 3,708.53 is: 5,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480 : 7,568.88 = 3,708.53 : x
  2. Step 2: Convert to fraction form
    5,480/7,568.88 = 3,708.53/x
  3. Step 3: Cross multiply
    5,480x = 7,568.88 × 3,708.53
  4. Step 4: Simplify right side
    5,480x = 28,069,418.55
  5. Step 5: Solve for x
    x = 28,069,418.55/5,480
  6. Step 6: Final answer
    x = 5,122.16

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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.