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Finding the Fourth Proportional to 5,478.89, 8,218.40 and 1,583.30

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Solution

The fourth proportional to 5,478.89, 8,218.40 and 1,583.30 is: 2,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.89 : 8,218.40 = 1,583.30 : x
  2. Step 2: Convert to fraction form
    5,478.89/8,218.40 = 1,583.30/x
  3. Step 3: Cross multiply
    5,478.89x = 8,218.40 × 1,583.30
  4. Step 4: Simplify right side
    5,478.89x = 13,012,143.71
  5. Step 5: Solve for x
    x = 13,012,143.71/5,478.89
  6. Step 6: Final answer
    x = 2,374.96

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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.