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Finding the Fourth Proportional to 5,251.57, 7,875.98 and 2,477.51

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Solution

The fourth proportional to 5,251.57, 7,875.98 and 2,477.51 is: 3,715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.57 : 7,875.98 = 2,477.51 : x
  2. Step 2: Convert to fraction form
    5,251.57/7,875.98 = 2,477.51/x
  3. Step 3: Cross multiply
    5,251.57x = 7,875.98 × 2,477.51
  4. Step 4: Simplify right side
    5,251.57x = 19,512,819.21
  5. Step 5: Solve for x
    x = 19,512,819.21/5,251.57
  6. Step 6: Final answer
    x = 3,715.62

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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.