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Finding the Fourth Proportional to 4,702.65, 7,053.18 and 2,204.10

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Solution

The fourth proportional to 4,702.65, 7,053.18 and 2,204.10 is: 3,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.65 : 7,053.18 = 2,204.10 : x
  2. Step 2: Convert to fraction form
    4,702.65/7,053.18 = 2,204.10/x
  3. Step 3: Cross multiply
    4,702.65x = 7,053.18 × 2,204.10
  4. Step 4: Simplify right side
    4,702.65x = 15,545,914.04
  5. Step 5: Solve for x
    x = 15,545,914.04/4,702.65
  6. Step 6: Final answer
    x = 3,305.78

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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.