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Finding the Fourth Proportional to 5,097.24, 7,046 and 4,253.04

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Solution

The fourth proportional to 5,097.24, 7,046 and 4,253.04 is: 5,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.24 : 7,046 = 4,253.04 : x
  2. Step 2: Convert to fraction form
    5,097.24/7,046 = 4,253.04/x
  3. Step 3: Cross multiply
    5,097.24x = 7,046 × 4,253.04
  4. Step 4: Simplify right side
    5,097.24x = 29,966,919.84
  5. Step 5: Solve for x
    x = 29,966,919.84/5,097.24
  6. Step 6: Final answer
    x = 5,879.05

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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.