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Finding the Fourth Proportional to 4,666.14, 6,999.21 and 4,381.02

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Solution

The fourth proportional to 4,666.14, 6,999.21 and 4,381.02 is: 6,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.14 : 6,999.21 = 4,381.02 : x
  2. Step 2: Convert to fraction form
    4,666.14/6,999.21 = 4,381.02/x
  3. Step 3: Cross multiply
    4,666.14x = 6,999.21 × 4,381.02
  4. Step 4: Simplify right side
    4,666.14x = 30,663,678.99
  5. Step 5: Solve for x
    x = 30,663,678.99/4,666.14
  6. Step 6: Final answer
    x = 6,571.53

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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.