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Finding the Fourth Proportional to 3,712.50, 5,123.85 and 2,140.32

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Solution

The fourth proportional to 3,712.50, 5,123.85 and 2,140.32 is: 2,953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.50 : 5,123.85 = 2,140.32 : x
  2. Step 2: Convert to fraction form
    3,712.50/5,123.85 = 2,140.32/x
  3. Step 3: Cross multiply
    3,712.50x = 5,123.85 × 2,140.32
  4. Step 4: Simplify right side
    3,712.50x = 10,966,678.63
  5. Step 5: Solve for x
    x = 10,966,678.63/3,712.50
  6. Step 6: Final answer
    x = 2,953.99

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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.