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Finding the Fourth Proportional to 5,268.32, 7,894.90 and 3,870.68

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Solution

The fourth proportional to 5,268.32, 7,894.90 and 3,870.68 is: 5,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.32 : 7,894.90 = 3,870.68 : x
  2. Step 2: Convert to fraction form
    5,268.32/7,894.90 = 3,870.68/x
  3. Step 3: Cross multiply
    5,268.32x = 7,894.90 × 3,870.68
  4. Step 4: Simplify right side
    5,268.32x = 30,558,631.53
  5. Step 5: Solve for x
    x = 30,558,631.53/5,268.32
  6. Step 6: Final answer
    x = 5,800.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.