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Finding the Fourth Proportional to 3,395, 4,685.10 and 2,068.71

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Solution

The fourth proportional to 3,395, 4,685.10 and 2,068.71 is: 2,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395 : 4,685.10 = 2,068.71 : x
  2. Step 2: Convert to fraction form
    3,395/4,685.10 = 2,068.71/x
  3. Step 3: Cross multiply
    3,395x = 4,685.10 × 2,068.71
  4. Step 4: Simplify right side
    3,395x = 9,692,108.05
  5. Step 5: Solve for x
    x = 9,692,108.05/3,395
  6. Step 6: Final answer
    x = 2,854.82

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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.