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Finding the Fourth Proportional to 6,875.60, 10,314.84 and 2,258

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Solution

The fourth proportional to 6,875.60, 10,314.84 and 2,258 is: 3,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.60 : 10,314.84 = 2,258 : x
  2. Step 2: Convert to fraction form
    6,875.60/10,314.84 = 2,258/x
  3. Step 3: Cross multiply
    6,875.60x = 10,314.84 × 2,258
  4. Step 4: Simplify right side
    6,875.60x = 23,290,908.72
  5. Step 5: Solve for x
    x = 23,290,908.72/6,875.60
  6. Step 6: Final answer
    x = 3,387.47

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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.