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Finding the Fourth Proportional to 5,605.60, 8,409.45 and 2,832.40

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Solution

The fourth proportional to 5,605.60, 8,409.45 and 2,832.40 is: 4,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.60 : 8,409.45 = 2,832.40 : x
  2. Step 2: Convert to fraction form
    5,605.60/8,409.45 = 2,832.40/x
  3. Step 3: Cross multiply
    5,605.60x = 8,409.45 × 2,832.40
  4. Step 4: Simplify right side
    5,605.60x = 23,818,926.18
  5. Step 5: Solve for x
    x = 23,818,926.18/5,605.60
  6. Step 6: Final answer
    x = 4,249.13

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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.