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Finding the Fourth Proportional to 3,139.58, 4,332.75 and 1,742.30

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Solution

The fourth proportional to 3,139.58, 4,332.75 and 1,742.30 is: 2,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.58 : 4,332.75 = 1,742.30 : x
  2. Step 2: Convert to fraction form
    3,139.58/4,332.75 = 1,742.30/x
  3. Step 3: Cross multiply
    3,139.58x = 4,332.75 × 1,742.30
  4. Step 4: Simplify right side
    3,139.58x = 7,548,950.33
  5. Step 5: Solve for x
    x = 7,548,950.33/3,139.58
  6. Step 6: Final answer
    x = 2,404.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.