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Finding the Fourth Proportional to 3,585.48, 5,377.38 and 988.20

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Solution

The fourth proportional to 3,585.48, 5,377.38 and 988.20 is: 1,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.48 : 5,377.38 = 988.20 : x
  2. Step 2: Convert to fraction form
    3,585.48/5,377.38 = 988.20/x
  3. Step 3: Cross multiply
    3,585.48x = 5,377.38 × 988.20
  4. Step 4: Simplify right side
    3,585.48x = 5,313,926.92
  5. Step 5: Solve for x
    x = 5,313,926.92/3,585.48
  6. Step 6: Final answer
    x = 1,482.07

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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.