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Finding the Fourth Proportional to 4,574.80, 6,857.34 and 3,275.56

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Solution

The fourth proportional to 4,574.80, 6,857.34 and 3,275.56 is: 4,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.80 : 6,857.34 = 3,275.56 : x
  2. Step 2: Convert to fraction form
    4,574.80/6,857.34 = 3,275.56/x
  3. Step 3: Cross multiply
    4,574.80x = 6,857.34 × 3,275.56
  4. Step 4: Simplify right side
    4,574.80x = 22,461,628.61
  5. Step 5: Solve for x
    x = 22,461,628.61/4,574.80
  6. Step 6: Final answer
    x = 4,909.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.