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Finding the Fourth Proportional to 5,281.72, 7,919.34 and 2,356

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Solution

The fourth proportional to 5,281.72, 7,919.34 and 2,356 is: 3,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.72 : 7,919.34 = 2,356 : x
  2. Step 2: Convert to fraction form
    5,281.72/7,919.34 = 2,356/x
  3. Step 3: Cross multiply
    5,281.72x = 7,919.34 × 2,356
  4. Step 4: Simplify right side
    5,281.72x = 18,657,965.04
  5. Step 5: Solve for x
    x = 18,657,965.04/5,281.72
  6. Step 6: Final answer
    x = 3,532.55

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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.