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Finding the Fourth Proportional to 5,699.38, 7,865.28 and 3,575.00

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Solution

The fourth proportional to 5,699.38, 7,865.28 and 3,575.00 is: 4,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.38 : 7,865.28 = 3,575.00 : x
  2. Step 2: Convert to fraction form
    5,699.38/7,865.28 = 3,575.00/x
  3. Step 3: Cross multiply
    5,699.38x = 7,865.28 × 3,575.00
  4. Step 4: Simplify right side
    5,699.38x = 28,118,395.66
  5. Step 5: Solve for x
    x = 28,118,395.66/5,699.38
  6. Step 6: Final answer
    x = 4,933.59

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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.