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Finding the Fourth Proportional to 4,123.52, 5,690.40 and 2,552

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Solution

The fourth proportional to 4,123.52, 5,690.40 and 2,552 is: 3,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.52 : 5,690.40 = 2,552 : x
  2. Step 2: Convert to fraction form
    4,123.52/5,690.40 = 2,552/x
  3. Step 3: Cross multiply
    4,123.52x = 5,690.40 × 2,552
  4. Step 4: Simplify right side
    4,123.52x = 14,521,900.80
  5. Step 5: Solve for x
    x = 14,521,900.80/4,123.52
  6. Step 6: Final answer
    x = 3,521.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.