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Finding the Fourth Proportional to 5,409.80, 7,465.29 and 3,052.16

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Solution

The fourth proportional to 5,409.80, 7,465.29 and 3,052.16 is: 4,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.80 : 7,465.29 = 3,052.16 : x
  2. Step 2: Convert to fraction form
    5,409.80/7,465.29 = 3,052.16/x
  3. Step 3: Cross multiply
    5,409.80x = 7,465.29 × 3,052.16
  4. Step 4: Simplify right side
    5,409.80x = 22,785,259.53
  5. Step 5: Solve for x
    x = 22,785,259.53/5,409.80
  6. Step 6: Final answer
    x = 4,211.85

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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.