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Finding the Fourth Proportional to 5,444.70, 8,167.32 and 1,549.01

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Solution

The fourth proportional to 5,444.70, 8,167.32 and 1,549.01 is: 2,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.70 : 8,167.32 = 1,549.01 : x
  2. Step 2: Convert to fraction form
    5,444.70/8,167.32 = 1,549.01/x
  3. Step 3: Cross multiply
    5,444.70x = 8,167.32 × 1,549.01
  4. Step 4: Simplify right side
    5,444.70x = 12,651,219.52
  5. Step 5: Solve for x
    x = 12,651,219.52/5,444.70
  6. Step 6: Final answer
    x = 2,323.58

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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.