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Finding the Fourth Proportional to 5,134.84, 7,702.28 and 1,239.24

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Solution

The fourth proportional to 5,134.84, 7,702.28 and 1,239.24 is: 1,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.84 : 7,702.28 = 1,239.24 : x
  2. Step 2: Convert to fraction form
    5,134.84/7,702.28 = 1,239.24/x
  3. Step 3: Cross multiply
    5,134.84x = 7,702.28 × 1,239.24
  4. Step 4: Simplify right side
    5,134.84x = 9,544,973.47
  5. Step 5: Solve for x
    x = 9,544,973.47/5,134.84
  6. Step 6: Final answer
    x = 1,858.86

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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.