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Finding the Fourth Proportional to 5,478.74, 8,218.56 and 1,583.18

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Solution

The fourth proportional to 5,478.74, 8,218.56 and 1,583.18 is: 2,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.74 : 8,218.56 = 1,583.18 : x
  2. Step 2: Convert to fraction form
    5,478.74/8,218.56 = 1,583.18/x
  3. Step 3: Cross multiply
    5,478.74x = 8,218.56 × 1,583.18
  4. Step 4: Simplify right side
    5,478.74x = 13,011,459.82
  5. Step 5: Solve for x
    x = 13,011,459.82/5,478.74
  6. Step 6: Final answer
    x = 2,374.90

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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.