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Finding the Fourth Proportional to 3,802.85, 5,246.37 and 2,310.53

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Solution

The fourth proportional to 3,802.85, 5,246.37 and 2,310.53 is: 3,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.85 : 5,246.37 = 2,310.53 : x
  2. Step 2: Convert to fraction form
    3,802.85/5,246.37 = 2,310.53/x
  3. Step 3: Cross multiply
    3,802.85x = 5,246.37 × 2,310.53
  4. Step 4: Simplify right side
    3,802.85x = 12,121,869.04
  5. Step 5: Solve for x
    x = 12,121,869.04/3,802.85
  6. Step 6: Final answer
    x = 3,187.58

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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.