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Finding the Fourth Proportional to 4,175.60, 6,264.48 and 1,578.56

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Solution

The fourth proportional to 4,175.60, 6,264.48 and 1,578.56 is: 2,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.60 : 6,264.48 = 1,578.56 : x
  2. Step 2: Convert to fraction form
    4,175.60/6,264.48 = 1,578.56/x
  3. Step 3: Cross multiply
    4,175.60x = 6,264.48 × 1,578.56
  4. Step 4: Simplify right side
    4,175.60x = 9,888,857.55
  5. Step 5: Solve for x
    x = 9,888,857.55/4,175.60
  6. Step 6: Final answer
    x = 2,368.25

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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.