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Finding the Fourth Proportional to 5,703.70, 8,543.42 and 2,737.77

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Solution

The fourth proportional to 5,703.70, 8,543.42 and 2,737.77 is: 4,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.70 : 8,543.42 = 2,737.77 : x
  2. Step 2: Convert to fraction form
    5,703.70/8,543.42 = 2,737.77/x
  3. Step 3: Cross multiply
    5,703.70x = 8,543.42 × 2,737.77
  4. Step 4: Simplify right side
    5,703.70x = 23,389,971.00
  5. Step 5: Solve for x
    x = 23,389,971.00/5,703.70
  6. Step 6: Final answer
    x = 4,100.84

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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.