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Finding the Fourth Proportional to 3,139.63, 4,710.47 and 1,291.62

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Solution

The fourth proportional to 3,139.63, 4,710.47 and 1,291.62 is: 1,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.63 : 4,710.47 = 1,291.62 : x
  2. Step 2: Convert to fraction form
    3,139.63/4,710.47 = 1,291.62/x
  3. Step 3: Cross multiply
    3,139.63x = 4,710.47 × 1,291.62
  4. Step 4: Simplify right side
    3,139.63x = 6,084,137.26
  5. Step 5: Solve for x
    x = 6,084,137.26/3,139.63
  6. Step 6: Final answer
    x = 1,937.85

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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.