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Finding the Fourth Proportional to 4,702.15, 7,053.21 and 1,415.24

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Solution

The fourth proportional to 4,702.15, 7,053.21 and 1,415.24 is: 2,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.15 : 7,053.21 = 1,415.24 : x
  2. Step 2: Convert to fraction form
    4,702.15/7,053.21 = 1,415.24/x
  3. Step 3: Cross multiply
    4,702.15x = 7,053.21 × 1,415.24
  4. Step 4: Simplify right side
    4,702.15x = 9,981,984.92
  5. Step 5: Solve for x
    x = 9,981,984.92/4,702.15
  6. Step 6: Final answer
    x = 2,122.86

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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.