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Finding the Fourth Proportional to 5,089.57, 7,631.79 and 1,802.20

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Solution

The fourth proportional to 5,089.57, 7,631.79 and 1,802.20 is: 2,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.57 : 7,631.79 = 1,802.20 : x
  2. Step 2: Convert to fraction form
    5,089.57/7,631.79 = 1,802.20/x
  3. Step 3: Cross multiply
    5,089.57x = 7,631.79 × 1,802.20
  4. Step 4: Simplify right side
    5,089.57x = 13,754,011.94
  5. Step 5: Solve for x
    x = 13,754,011.94/5,089.57
  6. Step 6: Final answer
    x = 2,702.39

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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.