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Finding the Fourth Proportional to 4,762.08, 6,571.84 and 2,666.40

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Solution

The fourth proportional to 4,762.08, 6,571.84 and 2,666.40 is: 3,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.08 : 6,571.84 = 2,666.40 : x
  2. Step 2: Convert to fraction form
    4,762.08/6,571.84 = 2,666.40/x
  3. Step 3: Cross multiply
    4,762.08x = 6,571.84 × 2,666.40
  4. Step 4: Simplify right side
    4,762.08x = 17,523,154.18
  5. Step 5: Solve for x
    x = 17,523,154.18/4,762.08
  6. Step 6: Final answer
    x = 3,679.73

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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.