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Finding the Fourth Proportional to 3,352.80, 5,032.40 and 2,866.40

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Solution

The fourth proportional to 3,352.80, 5,032.40 and 2,866.40 is: 4,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.80 : 5,032.40 = 2,866.40 : x
  2. Step 2: Convert to fraction form
    3,352.80/5,032.40 = 2,866.40/x
  3. Step 3: Cross multiply
    3,352.80x = 5,032.40 × 2,866.40
  4. Step 4: Simplify right side
    3,352.80x = 14,424,871.36
  5. Step 5: Solve for x
    x = 14,424,871.36/3,352.80
  6. Step 6: Final answer
    x = 4,302.34

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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.