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Finding the Fourth Proportional to 5,283.66, 7,924.68 and 1,586.28

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Solution

The fourth proportional to 5,283.66, 7,924.68 and 1,586.28 is: 2,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.66 : 7,924.68 = 1,586.28 : x
  2. Step 2: Convert to fraction form
    5,283.66/7,924.68 = 1,586.28/x
  3. Step 3: Cross multiply
    5,283.66x = 7,924.68 × 1,586.28
  4. Step 4: Simplify right side
    5,283.66x = 12,570,761.39
  5. Step 5: Solve for x
    x = 12,570,761.39/5,283.66
  6. Step 6: Final answer
    x = 2,379.18

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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.