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Finding the Fourth Proportional to 4,666.38, 7,002 and 2,199.93

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Solution

The fourth proportional to 4,666.38, 7,002 and 2,199.93 is: 3,301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.38 : 7,002 = 2,199.93 : x
  2. Step 2: Convert to fraction form
    4,666.38/7,002 = 2,199.93/x
  3. Step 3: Cross multiply
    4,666.38x = 7,002 × 2,199.93
  4. Step 4: Simplify right side
    4,666.38x = 15,403,909.86
  5. Step 5: Solve for x
    x = 15,403,909.86/4,666.38
  6. Step 6: Final answer
    x = 3,301.04

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