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Finding the Fourth Proportional to 4,549.70, 6,278.56 and 2,560.25

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Solution

The fourth proportional to 4,549.70, 6,278.56 and 2,560.25 is: 3,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.70 : 6,278.56 = 2,560.25 : x
  2. Step 2: Convert to fraction form
    4,549.70/6,278.56 = 2,560.25/x
  3. Step 3: Cross multiply
    4,549.70x = 6,278.56 × 2,560.25
  4. Step 4: Simplify right side
    4,549.70x = 16,074,683.24
  5. Step 5: Solve for x
    x = 16,074,683.24/4,549.70
  6. Step 6: Final answer
    x = 3,533.13

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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.