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Finding the Fourth Proportional to 3,897.79, 5,852.61 and 3,115.48

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Solution

The fourth proportional to 3,897.79, 5,852.61 and 3,115.48 is: 4,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.79 : 5,852.61 = 3,115.48 : x
  2. Step 2: Convert to fraction form
    3,897.79/5,852.61 = 3,115.48/x
  3. Step 3: Cross multiply
    3,897.79x = 5,852.61 × 3,115.48
  4. Step 4: Simplify right side
    3,897.79x = 18,233,689.40
  5. Step 5: Solve for x
    x = 18,233,689.40/3,897.79
  6. Step 6: Final answer
    x = 4,677.96

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1.5x scale

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.