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Finding the Fourth Proportional to 4,172.88, 6,257.52 and 1,574.40

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Solution

The fourth proportional to 4,172.88, 6,257.52 and 1,574.40 is: 2,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.88 : 6,257.52 = 1,574.40 : x
  2. Step 2: Convert to fraction form
    4,172.88/6,257.52 = 1,574.40/x
  3. Step 3: Cross multiply
    4,172.88x = 6,257.52 × 1,574.40
  4. Step 4: Simplify right side
    4,172.88x = 9,851,839.49
  5. Step 5: Solve for x
    x = 9,851,839.49/4,172.88
  6. Step 6: Final answer
    x = 2,360.92

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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.