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Finding the Fourth Proportional to 3,527.54, 5,290.22 and 930.14

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Solution

The fourth proportional to 3,527.54, 5,290.22 and 930.14 is: 1,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.54 : 5,290.22 = 930.14 : x
  2. Step 2: Convert to fraction form
    3,527.54/5,290.22 = 930.14/x
  3. Step 3: Cross multiply
    3,527.54x = 5,290.22 × 930.14
  4. Step 4: Simplify right side
    3,527.54x = 4,920,614.13
  5. Step 5: Solve for x
    x = 4,920,614.13/3,527.54
  6. Step 6: Final answer
    x = 1,394.92

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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.