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Finding the Fourth Proportional to 4,762.42, 6,571.29 and 2,666.14

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Solution

The fourth proportional to 4,762.42, 6,571.29 and 2,666.14 is: 3,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.42 : 6,571.29 = 2,666.14 : x
  2. Step 2: Convert to fraction form
    4,762.42/6,571.29 = 2,666.14/x
  3. Step 3: Cross multiply
    4,762.42x = 6,571.29 × 2,666.14
  4. Step 4: Simplify right side
    4,762.42x = 17,519,979.12
  5. Step 5: Solve for x
    x = 17,519,979.12/4,762.42
  6. Step 6: Final answer
    x = 3,678.80

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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.