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Finding the Fourth Proportional to 5,214.54, 7,823.03 and 1,704.71

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Solution

The fourth proportional to 5,214.54, 7,823.03 and 1,704.71 is: 2,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.54 : 7,823.03 = 1,704.71 : x
  2. Step 2: Convert to fraction form
    5,214.54/7,823.03 = 1,704.71/x
  3. Step 3: Cross multiply
    5,214.54x = 7,823.03 × 1,704.71
  4. Step 4: Simplify right side
    5,214.54x = 13,335,949.83
  5. Step 5: Solve for x
    x = 13,335,949.83/5,214.54
  6. Step 6: Final answer
    x = 2,557.45

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1.5x scale

Why These Related Problems?

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