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Finding the Fourth Proportional to 3,585.25, 5,377.88 and 988.19

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Solution

The fourth proportional to 3,585.25, 5,377.88 and 988.19 is: 1,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.25 : 5,377.88 = 988.19 : x
  2. Step 2: Convert to fraction form
    3,585.25/5,377.88 = 988.19/x
  3. Step 3: Cross multiply
    3,585.25x = 5,377.88 × 988.19
  4. Step 4: Simplify right side
    3,585.25x = 5,314,367.24
  5. Step 5: Solve for x
    x = 5,314,367.24/3,585.25
  6. Step 6: Final answer
    x = 1,482.29

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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.