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Finding the Fourth Proportional to 4,293.60, 5,880.78 and 4,041.42

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Solution

The fourth proportional to 4,293.60, 5,880.78 and 4,041.42 is: 5,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.60 : 5,880.78 = 4,041.42 : x
  2. Step 2: Convert to fraction form
    4,293.60/5,880.78 = 4,041.42/x
  3. Step 3: Cross multiply
    4,293.60x = 5,880.78 × 4,041.42
  4. Step 4: Simplify right side
    4,293.60x = 23,766,701.91
  5. Step 5: Solve for x
    x = 23,766,701.91/4,293.60
  6. Step 6: Final answer
    x = 5,535.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.