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Finding the Fourth Proportional to 4,177.56, 6,264.18 and 1,578.72

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Solution

The fourth proportional to 4,177.56, 6,264.18 and 1,578.72 is: 2,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.56 : 6,264.18 = 1,578.72 : x
  2. Step 2: Convert to fraction form
    4,177.56/6,264.18 = 1,578.72/x
  3. Step 3: Cross multiply
    4,177.56x = 6,264.18 × 1,578.72
  4. Step 4: Simplify right side
    4,177.56x = 9,889,386.25
  5. Step 5: Solve for x
    x = 9,889,386.25/4,177.56
  6. Step 6: Final answer
    x = 2,367.26

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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.