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Finding the Fourth Proportional to 5,146.60, 7,720.28 and 1,859.68

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Solution

The fourth proportional to 5,146.60, 7,720.28 and 1,859.68 is: 2,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.60 : 7,720.28 = 1,859.68 : x
  2. Step 2: Convert to fraction form
    5,146.60/7,720.28 = 1,859.68/x
  3. Step 3: Cross multiply
    5,146.60x = 7,720.28 × 1,859.68
  4. Step 4: Simplify right side
    5,146.60x = 14,357,250.31
  5. Step 5: Solve for x
    x = 14,357,250.31/5,146.60
  6. Step 6: Final answer
    x = 2,789.66

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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.