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Finding the Fourth Proportional to 4,169.88, 6,254.48 and 1,537.45

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Solution

The fourth proportional to 4,169.88, 6,254.48 and 1,537.45 is: 2,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.88 : 6,254.48 = 1,537.45 : x
  2. Step 2: Convert to fraction form
    4,169.88/6,254.48 = 1,537.45/x
  3. Step 3: Cross multiply
    4,169.88x = 6,254.48 × 1,537.45
  4. Step 4: Simplify right side
    4,169.88x = 9,615,938.48
  5. Step 5: Solve for x
    x = 9,615,938.48/4,169.88
  6. Step 6: Final answer
    x = 2,306.05

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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.