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Finding the Fourth Proportional to 4,695.76, 6,480.30 and 3,122.74

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Solution

The fourth proportional to 4,695.76, 6,480.30 and 3,122.74 is: 4,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.76 : 6,480.30 = 3,122.74 : x
  2. Step 2: Convert to fraction form
    4,695.76/6,480.30 = 3,122.74/x
  3. Step 3: Cross multiply
    4,695.76x = 6,480.30 × 3,122.74
  4. Step 4: Simplify right side
    4,695.76x = 20,236,292.02
  5. Step 5: Solve for x
    x = 20,236,292.02/4,695.76
  6. Step 6: Final answer
    x = 4,309.48

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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.