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Finding the Fourth Proportional to 3,510.72, 5,269.87 and 3,123.20

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Solution

The fourth proportional to 3,510.72, 5,269.87 and 3,123.20 is: 4,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.72 : 5,269.87 = 3,123.20 : x
  2. Step 2: Convert to fraction form
    3,510.72/5,269.87 = 3,123.20/x
  3. Step 3: Cross multiply
    3,510.72x = 5,269.87 × 3,123.20
  4. Step 4: Simplify right side
    3,510.72x = 16,458,875.06
  5. Step 5: Solve for x
    x = 16,458,875.06/3,510.72
  6. Step 6: Final answer
    x = 4,688.18

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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.