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Finding the Fourth Proportional to 4,134.90, 5,702.14 and 3,140.22

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Solution

The fourth proportional to 4,134.90, 5,702.14 and 3,140.22 is: 4,330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.90 : 5,702.14 = 3,140.22 : x
  2. Step 2: Convert to fraction form
    4,134.90/5,702.14 = 3,140.22/x
  3. Step 3: Cross multiply
    4,134.90x = 5,702.14 × 3,140.22
  4. Step 4: Simplify right side
    4,134.90x = 17,905,974.07
  5. Step 5: Solve for x
    x = 17,905,974.07/4,134.90
  6. Step 6: Final answer
    x = 4,330.45

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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.