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Finding the Fourth Proportional to 5,499.76, 7,584.52 and 4,384.40

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Solution

The fourth proportional to 5,499.76, 7,584.52 and 4,384.40 is: 6,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,499.76 : 7,584.52 = 4,384.40 : x
  2. Step 2: Convert to fraction form
    5,499.76/7,584.52 = 4,384.40/x
  3. Step 3: Cross multiply
    5,499.76x = 7,584.52 × 4,384.40
  4. Step 4: Simplify right side
    5,499.76x = 33,253,569.49
  5. Step 5: Solve for x
    x = 33,253,569.49/5,499.76
  6. Step 6: Final answer
    x = 6,046.37

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1.5x scale

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.