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Finding the Fourth Proportional to 5,857.68, 8,085.48 and 3,870

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Solution

The fourth proportional to 5,857.68, 8,085.48 and 3,870 is: 5,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.68 : 8,085.48 = 3,870 : x
  2. Step 2: Convert to fraction form
    5,857.68/8,085.48 = 3,870/x
  3. Step 3: Cross multiply
    5,857.68x = 8,085.48 × 3,870
  4. Step 4: Simplify right side
    5,857.68x = 31,290,807.60
  5. Step 5: Solve for x
    x = 31,290,807.60/5,857.68
  6. Step 6: Final answer
    x = 5,341.84

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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.