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Finding the Fourth Proportional to 3,139.70, 4,708.76 and 1,291.32

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Solution

The fourth proportional to 3,139.70, 4,708.76 and 1,291.32 is: 1,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.70 : 4,708.76 = 1,291.32 : x
  2. Step 2: Convert to fraction form
    3,139.70/4,708.76 = 1,291.32/x
  3. Step 3: Cross multiply
    3,139.70x = 4,708.76 × 1,291.32
  4. Step 4: Simplify right side
    3,139.70x = 6,080,509.51
  5. Step 5: Solve for x
    x = 6,080,509.51/3,139.70
  6. Step 6: Final answer
    x = 1,936.66

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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.