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Finding the Fourth Proportional to 5,337.12, 8,006.26 and 2,053

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Solution

The fourth proportional to 5,337.12, 8,006.26 and 2,053 is: 3,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.12 : 8,006.26 = 2,053 : x
  2. Step 2: Convert to fraction form
    5,337.12/8,006.26 = 2,053/x
  3. Step 3: Cross multiply
    5,337.12x = 8,006.26 × 2,053
  4. Step 4: Simplify right side
    5,337.12x = 16,436,851.78
  5. Step 5: Solve for x
    x = 16,436,851.78/5,337.12
  6. Step 6: Final answer
    x = 3,079.72

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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.