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Finding the Fourth Proportional to 5,832.48, 8,703.60 and 5,209.48

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Solution

The fourth proportional to 5,832.48, 8,703.60 and 5,209.48 is: 7,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.48 : 8,703.60 = 5,209.48 : x
  2. Step 2: Convert to fraction form
    5,832.48/8,703.60 = 5,209.48/x
  3. Step 3: Cross multiply
    5,832.48x = 8,703.60 × 5,209.48
  4. Step 4: Simplify right side
    5,832.48x = 45,341,230.13
  5. Step 5: Solve for x
    x = 45,341,230.13/5,832.48
  6. Step 6: Final answer
    x = 7,773.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.