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Finding the Fourth Proportional to 4,549.84, 6,278.72 and 2,560.40

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Solution

The fourth proportional to 4,549.84, 6,278.72 and 2,560.40 is: 3,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.84 : 6,278.72 = 2,560.40 : x
  2. Step 2: Convert to fraction form
    4,549.84/6,278.72 = 2,560.40/x
  3. Step 3: Cross multiply
    4,549.84x = 6,278.72 × 2,560.40
  4. Step 4: Simplify right side
    4,549.84x = 16,076,034.69
  5. Step 5: Solve for x
    x = 16,076,034.69/4,549.84
  6. Step 6: Final answer
    x = 3,533.32

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Why These Related Problems?

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