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Finding the Fourth Proportional to 5,482.24, 7,562.84 and 3,593

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Solution

The fourth proportional to 5,482.24, 7,562.84 and 3,593 is: 4,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.24 : 7,562.84 = 3,593 : x
  2. Step 2: Convert to fraction form
    5,482.24/7,562.84 = 3,593/x
  3. Step 3: Cross multiply
    5,482.24x = 7,562.84 × 3,593
  4. Step 4: Simplify right side
    5,482.24x = 27,173,284.12
  5. Step 5: Solve for x
    x = 27,173,284.12/5,482.24
  6. Step 6: Final answer
    x = 4,956.60

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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.