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Finding the Fourth Proportional to 4,151.76, 6,225.80 and 2,203.52

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Solution

The fourth proportional to 4,151.76, 6,225.80 and 2,203.52 is: 3,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.76 : 6,225.80 = 2,203.52 : x
  2. Step 2: Convert to fraction form
    4,151.76/6,225.80 = 2,203.52/x
  3. Step 3: Cross multiply
    4,151.76x = 6,225.80 × 2,203.52
  4. Step 4: Simplify right side
    4,151.76x = 13,718,674.82
  5. Step 5: Solve for x
    x = 13,718,674.82/4,151.76
  6. Step 6: Final answer
    x = 3,304.30

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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.