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Finding the Fourth Proportional to 4,695.84, 6,480.24 and 2,807.76

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Solution

The fourth proportional to 4,695.84, 6,480.24 and 2,807.76 is: 3,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.84 : 6,480.24 = 2,807.76 : x
  2. Step 2: Convert to fraction form
    4,695.84/6,480.24 = 2,807.76/x
  3. Step 3: Cross multiply
    4,695.84x = 6,480.24 × 2,807.76
  4. Step 4: Simplify right side
    4,695.84x = 18,194,958.66
  5. Step 5: Solve for x
    x = 18,194,958.66/4,695.84
  6. Step 6: Final answer
    x = 3,874.70

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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.