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Finding the Fourth Proportional to 3,468.13, 4,786.08 and 2,070.88

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Solution

The fourth proportional to 3,468.13, 4,786.08 and 2,070.88 is: 2,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.13 : 4,786.08 = 2,070.88 : x
  2. Step 2: Convert to fraction form
    3,468.13/4,786.08 = 2,070.88/x
  3. Step 3: Cross multiply
    3,468.13x = 4,786.08 × 2,070.88
  4. Step 4: Simplify right side
    3,468.13x = 9,911,397.35
  5. Step 5: Solve for x
    x = 9,911,397.35/3,468.13
  6. Step 6: Final answer
    x = 2,857.85

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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.