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Finding the Fourth Proportional to 3,139.77, 4,708.53 and 947.82

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Solution

The fourth proportional to 3,139.77, 4,708.53 and 947.82 is: 1,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.77 : 4,708.53 = 947.82 : x
  2. Step 2: Convert to fraction form
    3,139.77/4,708.53 = 947.82/x
  3. Step 3: Cross multiply
    3,139.77x = 4,708.53 × 947.82
  4. Step 4: Simplify right side
    3,139.77x = 4,462,838.90
  5. Step 5: Solve for x
    x = 4,462,838.90/3,139.77
  6. Step 6: Final answer
    x = 1,421.39

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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.