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Finding the Fourth Proportional to 4,702.96, 7,057.78 and 1,932.15

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Solution

The fourth proportional to 4,702.96, 7,057.78 and 1,932.15 is: 2,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.96 : 7,057.78 = 1,932.15 : x
  2. Step 2: Convert to fraction form
    4,702.96/7,057.78 = 1,932.15/x
  3. Step 3: Cross multiply
    4,702.96x = 7,057.78 × 1,932.15
  4. Step 4: Simplify right side
    4,702.96x = 13,636,722.13
  5. Step 5: Solve for x
    x = 13,636,722.13/4,702.96
  6. Step 6: Final answer
    x = 2,899.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.