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Finding the Fourth Proportional to 5,708.92, 8,543.94 and 4,416.16

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Solution

The fourth proportional to 5,708.92, 8,543.94 and 4,416.16 is: 6,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.92 : 8,543.94 = 4,416.16 : x
  2. Step 2: Convert to fraction form
    5,708.92/8,543.94 = 4,416.16/x
  3. Step 3: Cross multiply
    5,708.92x = 8,543.94 × 4,416.16
  4. Step 4: Simplify right side
    5,708.92x = 37,731,406.07
  5. Step 5: Solve for x
    x = 37,731,406.07/5,708.92
  6. Step 6: Final answer
    x = 6,609.20

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1.5x scale

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.