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Finding the Fourth Proportional to 5,695.40, 8,543.10 and 2,407.40

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Solution

The fourth proportional to 5,695.40, 8,543.10 and 2,407.40 is: 3,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.40 : 8,543.10 = 2,407.40 : x
  2. Step 2: Convert to fraction form
    5,695.40/8,543.10 = 2,407.40/x
  3. Step 3: Cross multiply
    5,695.40x = 8,543.10 × 2,407.40
  4. Step 4: Simplify right side
    5,695.40x = 20,566,658.94
  5. Step 5: Solve for x
    x = 20,566,658.94/5,695.40
  6. Step 6: Final answer
    x = 3,611.10

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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.