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Finding the Fourth Proportional to 5,548, 8,327.70 and 4,328.74

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Solution

The fourth proportional to 5,548, 8,327.70 and 4,328.74 is: 6,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548 : 8,327.70 = 4,328.74 : x
  2. Step 2: Convert to fraction form
    5,548/8,327.70 = 4,328.74/x
  3. Step 3: Cross multiply
    5,548x = 8,327.70 × 4,328.74
  4. Step 4: Simplify right side
    5,548x = 36,048,448.10
  5. Step 5: Solve for x
    x = 36,048,448.10/5,548
  6. Step 6: Final answer
    x = 6,497.56

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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.