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Finding the Fourth Proportional to 5,420.48, 7,496 and 5,322.04

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Solution

The fourth proportional to 5,420.48, 7,496 and 5,322.04 is: 7,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.48 : 7,496 = 5,322.04 : x
  2. Step 2: Convert to fraction form
    5,420.48/7,496 = 5,322.04/x
  3. Step 3: Cross multiply
    5,420.48x = 7,496 × 5,322.04
  4. Step 4: Simplify right side
    5,420.48x = 39,894,011.84
  5. Step 5: Solve for x
    x = 39,894,011.84/5,420.48
  6. Step 6: Final answer
    x = 7,359.87

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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.