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Finding the Fourth Proportional to 4,762.94, 6,572.34 and 3,877.20

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Solution

The fourth proportional to 4,762.94, 6,572.34 and 3,877.20 is: 5,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.94 : 6,572.34 = 3,877.20 : x
  2. Step 2: Convert to fraction form
    4,762.94/6,572.34 = 3,877.20/x
  3. Step 3: Cross multiply
    4,762.94x = 6,572.34 × 3,877.20
  4. Step 4: Simplify right side
    4,762.94x = 25,482,276.65
  5. Step 5: Solve for x
    x = 25,482,276.65/4,762.94
  6. Step 6: Final answer
    x = 5,350.12

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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.