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Finding the Fourth Proportional to 5,689.60, 8,543.20 and 3,097.60

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Solution

The fourth proportional to 5,689.60, 8,543.20 and 3,097.60 is: 4,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.60 : 8,543.20 = 3,097.60 : x
  2. Step 2: Convert to fraction form
    5,689.60/8,543.20 = 3,097.60/x
  3. Step 3: Cross multiply
    5,689.60x = 8,543.20 × 3,097.60
  4. Step 4: Simplify right side
    5,689.60x = 26,463,416.32
  5. Step 5: Solve for x
    x = 26,463,416.32/5,689.60
  6. Step 6: Final answer
    x = 4,651.19

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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.