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Finding the Fourth Proportional to 5,175.16, 7,762.82 and 2,881.24

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Solution

The fourth proportional to 5,175.16, 7,762.82 and 2,881.24 is: 4,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.16 : 7,762.82 = 2,881.24 : x
  2. Step 2: Convert to fraction form
    5,175.16/7,762.82 = 2,881.24/x
  3. Step 3: Cross multiply
    5,175.16x = 7,762.82 × 2,881.24
  4. Step 4: Simplify right side
    5,175.16x = 22,366,547.50
  5. Step 5: Solve for x
    x = 22,366,547.50/5,175.16
  6. Step 6: Final answer
    x = 4,321.90

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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.