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Finding the Fourth Proportional to 5,791.16, 7,962.22 and 5,155.64

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Solution

The fourth proportional to 5,791.16, 7,962.22 and 5,155.64 is: 7,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.16 : 7,962.22 = 5,155.64 : x
  2. Step 2: Convert to fraction form
    5,791.16/7,962.22 = 5,155.64/x
  3. Step 3: Cross multiply
    5,791.16x = 7,962.22 × 5,155.64
  4. Step 4: Simplify right side
    5,791.16x = 41,050,339.92
  5. Step 5: Solve for x
    x = 41,050,339.92/5,791.16
  6. Step 6: Final answer
    x = 7,088.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.