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Finding the Fourth Proportional to 4,933.22, 7,381.69 and 4,666.06

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Solution

The fourth proportional to 4,933.22, 7,381.69 and 4,666.06 is: 6,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.22 : 7,381.69 = 4,666.06 : x
  2. Step 2: Convert to fraction form
    4,933.22/7,381.69 = 4,666.06/x
  3. Step 3: Cross multiply
    4,933.22x = 7,381.69 × 4,666.06
  4. Step 4: Simplify right side
    4,933.22x = 34,443,397.29
  5. Step 5: Solve for x
    x = 34,443,397.29/4,933.22
  6. Step 6: Final answer
    x = 6,981.93

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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.