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Finding the Fourth Proportional to 4,702.12, 7,053.62 and 1,324.90

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Solution

The fourth proportional to 4,702.12, 7,053.62 and 1,324.90 is: 1,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.12 : 7,053.62 = 1,324.90 : x
  2. Step 2: Convert to fraction form
    4,702.12/7,053.62 = 1,324.90/x
  3. Step 3: Cross multiply
    4,702.12x = 7,053.62 × 1,324.90
  4. Step 4: Simplify right side
    4,702.12x = 9,345,305.87
  5. Step 5: Solve for x
    x = 9,345,305.87/4,702.12
  6. Step 6: Final answer
    x = 1,987.47

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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.