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Finding the Fourth Proportional to 5,616.16, 8,422.94 and 1,666.60

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Solution

The fourth proportional to 5,616.16, 8,422.94 and 1,666.60 is: 2,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.16 : 8,422.94 = 1,666.60 : x
  2. Step 2: Convert to fraction form
    5,616.16/8,422.94 = 1,666.60/x
  3. Step 3: Cross multiply
    5,616.16x = 8,422.94 × 1,666.60
  4. Step 4: Simplify right side
    5,616.16x = 14,037,671.80
  5. Step 5: Solve for x
    x = 14,037,671.80/5,616.16
  6. Step 6: Final answer
    x = 2,499.51

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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.