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Finding the Fourth Proportional to 3,802.70, 5,702.70 and 2,632.70

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Solution

The fourth proportional to 3,802.70, 5,702.70 and 2,632.70 is: 3,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.70 : 5,702.70 = 2,632.70 : x
  2. Step 2: Convert to fraction form
    3,802.70/5,702.70 = 2,632.70/x
  3. Step 3: Cross multiply
    3,802.70x = 5,702.70 × 2,632.70
  4. Step 4: Simplify right side
    3,802.70x = 15,013,498.29
  5. Step 5: Solve for x
    x = 15,013,498.29/3,802.70
  6. Step 6: Final answer
    x = 3,948.12

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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.