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Finding the Fourth Proportional to 5,829.16, 8,046.02 and 3,967.24

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Solution

The fourth proportional to 5,829.16, 8,046.02 and 3,967.24 is: 5,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.16 : 8,046.02 = 3,967.24 : x
  2. Step 2: Convert to fraction form
    5,829.16/8,046.02 = 3,967.24/x
  3. Step 3: Cross multiply
    5,829.16x = 8,046.02 × 3,967.24
  4. Step 4: Simplify right side
    5,829.16x = 31,920,492.38
  5. Step 5: Solve for x
    x = 31,920,492.38/5,829.16
  6. Step 6: Final answer
    x = 5,476.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.