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Finding the Fourth Proportional to 5,255.93, 7,884.66 and 1,557.68

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Solution

The fourth proportional to 5,255.93, 7,884.66 and 1,557.68 is: 2,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.93 : 7,884.66 = 1,557.68 : x
  2. Step 2: Convert to fraction form
    5,255.93/7,884.66 = 1,557.68/x
  3. Step 3: Cross multiply
    5,255.93x = 7,884.66 × 1,557.68
  4. Step 4: Simplify right side
    5,255.93x = 12,281,777.19
  5. Step 5: Solve for x
    x = 12,281,777.19/5,255.93
  6. Step 6: Final answer
    x = 2,336.75

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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.