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Finding the Fourth Proportional to 4,854.16, 6,698.84 and 2,758.24

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Solution

The fourth proportional to 4,854.16, 6,698.84 and 2,758.24 is: 3,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.16 : 6,698.84 = 2,758.24 : x
  2. Step 2: Convert to fraction form
    4,854.16/6,698.84 = 2,758.24/x
  3. Step 3: Cross multiply
    4,854.16x = 6,698.84 × 2,758.24
  4. Step 4: Simplify right side
    4,854.16x = 18,477,008.44
  5. Step 5: Solve for x
    x = 18,477,008.44/4,854.16
  6. Step 6: Final answer
    x = 3,806.43

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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.