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Finding the Fourth Proportional to 4,762.34, 6,572.17 and 2,666.46

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Solution

The fourth proportional to 4,762.34, 6,572.17 and 2,666.46 is: 3,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.34 : 6,572.17 = 2,666.46 : x
  2. Step 2: Convert to fraction form
    4,762.34/6,572.17 = 2,666.46/x
  3. Step 3: Cross multiply
    4,762.34x = 6,572.17 × 2,666.46
  4. Step 4: Simplify right side
    4,762.34x = 17,524,428.42
  5. Step 5: Solve for x
    x = 17,524,428.42/4,762.34
  6. Step 6: Final answer
    x = 3,679.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.