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Finding the Fourth Proportional to 5,584.92, 7,703.76 and 4,015.12

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Solution

The fourth proportional to 5,584.92, 7,703.76 and 4,015.12 is: 5,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.92 : 7,703.76 = 4,015.12 : x
  2. Step 2: Convert to fraction form
    5,584.92/7,703.76 = 4,015.12/x
  3. Step 3: Cross multiply
    5,584.92x = 7,703.76 × 4,015.12
  4. Step 4: Simplify right side
    5,584.92x = 30,931,520.85
  5. Step 5: Solve for x
    x = 30,931,520.85/5,584.92
  6. Step 6: Final answer
    x = 5,538.40

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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.