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Finding the Fourth Proportional to 5,801.50, 8,002.65 and 3,443.50

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Solution

The fourth proportional to 5,801.50, 8,002.65 and 3,443.50 is: 4,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.50 : 8,002.65 = 3,443.50 : x
  2. Step 2: Convert to fraction form
    5,801.50/8,002.65 = 3,443.50/x
  3. Step 3: Cross multiply
    5,801.50x = 8,002.65 × 3,443.50
  4. Step 4: Simplify right side
    5,801.50x = 27,557,125.28
  5. Step 5: Solve for x
    x = 27,557,125.28/5,801.50
  6. Step 6: Final answer
    x = 4,750.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.