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Finding the Fourth Proportional to 4,762.80, 6,569.51 and 3,766.50

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Solution

The fourth proportional to 4,762.80, 6,569.51 and 3,766.50 is: 5,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.80 : 6,569.51 = 3,766.50 : x
  2. Step 2: Convert to fraction form
    4,762.80/6,569.51 = 3,766.50/x
  3. Step 3: Cross multiply
    4,762.80x = 6,569.51 × 3,766.50
  4. Step 4: Simplify right side
    4,762.80x = 24,744,040.58
  5. Step 5: Solve for x
    x = 24,744,040.58/4,762.80
  6. Step 6: Final answer
    x = 5,195.27

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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.