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Finding the Fourth Proportional to 4,666.77, 7,000.16 and 4,381.65

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Solution

The fourth proportional to 4,666.77, 7,000.16 and 4,381.65 is: 6,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.77 : 7,000.16 = 4,381.65 : x
  2. Step 2: Convert to fraction form
    4,666.77/7,000.16 = 4,381.65/x
  3. Step 3: Cross multiply
    4,666.77x = 7,000.16 × 4,381.65
  4. Step 4: Simplify right side
    4,666.77x = 30,672,251.06
  5. Step 5: Solve for x
    x = 30,672,251.06/4,666.77
  6. Step 6: Final answer
    x = 6,572.48

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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.