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Finding the Fourth Proportional to 4,854.32, 7,279.32 and 2,258

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Solution

The fourth proportional to 4,854.32, 7,279.32 and 2,258 is: 3,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.32 : 7,279.32 = 2,258 : x
  2. Step 2: Convert to fraction form
    4,854.32/7,279.32 = 2,258/x
  3. Step 3: Cross multiply
    4,854.32x = 7,279.32 × 2,258
  4. Step 4: Simplify right side
    4,854.32x = 16,436,704.56
  5. Step 5: Solve for x
    x = 16,436,704.56/4,854.32
  6. Step 6: Final answer
    x = 3,386.00

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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.