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Finding the Fourth Proportional to 3,139.74, 4,702.32 and 2,357.28

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Solution

The fourth proportional to 3,139.74, 4,702.32 and 2,357.28 is: 3,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.74 : 4,702.32 = 2,357.28 : x
  2. Step 2: Convert to fraction form
    3,139.74/4,702.32 = 2,357.28/x
  3. Step 3: Cross multiply
    3,139.74x = 4,702.32 × 2,357.28
  4. Step 4: Simplify right side
    3,139.74x = 11,084,684.89
  5. Step 5: Solve for x
    x = 11,084,684.89/3,139.74
  6. Step 6: Final answer
    x = 3,530.45

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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.