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Finding the Fourth Proportional to 5,606.66, 8,408.02 and 1,656.87

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Solution

The fourth proportional to 5,606.66, 8,408.02 and 1,656.87 is: 2,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.66 : 8,408.02 = 1,656.87 : x
  2. Step 2: Convert to fraction form
    5,606.66/8,408.02 = 1,656.87/x
  3. Step 3: Cross multiply
    5,606.66x = 8,408.02 × 1,656.87
  4. Step 4: Simplify right side
    5,606.66x = 13,930,996.10
  5. Step 5: Solve for x
    x = 13,930,996.10/5,606.66
  6. Step 6: Final answer
    x = 2,484.72

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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.