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Finding the Fourth Proportional to 5,031.90, 7,548.90 and 1,522.16

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Solution

The fourth proportional to 5,031.90, 7,548.90 and 1,522.16 is: 2,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031.90 : 7,548.90 = 1,522.16 : x
  2. Step 2: Convert to fraction form
    5,031.90/7,548.90 = 1,522.16/x
  3. Step 3: Cross multiply
    5,031.90x = 7,548.90 × 1,522.16
  4. Step 4: Simplify right side
    5,031.90x = 11,490,633.62
  5. Step 5: Solve for x
    x = 11,490,633.62/5,031.90
  6. Step 6: Final answer
    x = 2,283.56

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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.