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Finding the Fourth Proportional to 4,549.68, 6,825.40 and 1,776.24

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Solution

The fourth proportional to 4,549.68, 6,825.40 and 1,776.24 is: 2,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.68 : 6,825.40 = 1,776.24 : x
  2. Step 2: Convert to fraction form
    4,549.68/6,825.40 = 1,776.24/x
  3. Step 3: Cross multiply
    4,549.68x = 6,825.40 × 1,776.24
  4. Step 4: Simplify right side
    4,549.68x = 12,123,548.50
  5. Step 5: Solve for x
    x = 12,123,548.50/4,549.68
  6. Step 6: Final answer
    x = 2,664.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.