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Finding the Fourth Proportional to 3,585.12, 5,377.52 and 988.16

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Solution

The fourth proportional to 3,585.12, 5,377.52 and 988.16 is: 1,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.12 : 5,377.52 = 988.16 : x
  2. Step 2: Convert to fraction form
    3,585.12/5,377.52 = 988.16/x
  3. Step 3: Cross multiply
    3,585.12x = 5,377.52 × 988.16
  4. Step 4: Simplify right side
    3,585.12x = 5,313,850.16
  5. Step 5: Solve for x
    x = 5,313,850.16/3,585.12
  6. Step 6: Final answer
    x = 1,482.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.