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Finding the Fourth Proportional to 5,089.38, 7,631.57 and 1,802.00

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Solution

The fourth proportional to 5,089.38, 7,631.57 and 1,802.00 is: 2,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.38 : 7,631.57 = 1,802.00 : x
  2. Step 2: Convert to fraction form
    5,089.38/7,631.57 = 1,802.00/x
  3. Step 3: Cross multiply
    5,089.38x = 7,631.57 × 1,802.00
  4. Step 4: Simplify right side
    5,089.38x = 13,752,041.97
  5. Step 5: Solve for x
    x = 13,752,041.97/5,089.38
  6. Step 6: Final answer
    x = 2,702.11

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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.