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Finding the Fourth Proportional to 3,666.54, 5,495.76 and 1,586.19

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Solution

The fourth proportional to 3,666.54, 5,495.76 and 1,586.19 is: 2,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.54 : 5,495.76 = 1,586.19 : x
  2. Step 2: Convert to fraction form
    3,666.54/5,495.76 = 1,586.19/x
  3. Step 3: Cross multiply
    3,666.54x = 5,495.76 × 1,586.19
  4. Step 4: Simplify right side
    3,666.54x = 8,717,319.55
  5. Step 5: Solve for x
    x = 8,717,319.55/3,666.54
  6. Step 6: Final answer
    x = 2,377.53

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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.