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Finding the Fourth Proportional to 3,897.34, 5,378.34 and 2,325.40

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Solution

The fourth proportional to 3,897.34, 5,378.34 and 2,325.40 is: 3,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.34 : 5,378.34 = 2,325.40 : x
  2. Step 2: Convert to fraction form
    3,897.34/5,378.34 = 2,325.40/x
  3. Step 3: Cross multiply
    3,897.34x = 5,378.34 × 2,325.40
  4. Step 4: Simplify right side
    3,897.34x = 12,506,791.84
  5. Step 5: Solve for x
    x = 12,506,791.84/3,897.34
  6. Step 6: Final answer
    x = 3,209.06

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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.