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Finding the Fourth Proportional to 5,254.08, 7,881 and 1,358.52

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Solution

The fourth proportional to 5,254.08, 7,881 and 1,358.52 is: 2,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.08 : 7,881 = 1,358.52 : x
  2. Step 2: Convert to fraction form
    5,254.08/7,881 = 1,358.52/x
  3. Step 3: Cross multiply
    5,254.08x = 7,881 × 1,358.52
  4. Step 4: Simplify right side
    5,254.08x = 10,706,496.12
  5. Step 5: Solve for x
    x = 10,706,496.12/5,254.08
  6. Step 6: Final answer
    x = 2,037.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.