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Finding the Fourth Proportional to 4,549.69, 6,278.51 and 2,560.28

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Solution

The fourth proportional to 4,549.69, 6,278.51 and 2,560.28 is: 3,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.69 : 6,278.51 = 2,560.28 : x
  2. Step 2: Convert to fraction form
    4,549.69/6,278.51 = 2,560.28/x
  3. Step 3: Cross multiply
    4,549.69x = 6,278.51 × 2,560.28
  4. Step 4: Simplify right side
    4,549.69x = 16,074,730.78
  5. Step 5: Solve for x
    x = 16,074,730.78/4,549.69
  6. Step 6: Final answer
    x = 3,533.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.