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Finding the Fourth Proportional to 3,897.39, 5,848.71 and 1,704.84

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Solution

The fourth proportional to 3,897.39, 5,848.71 and 1,704.84 is: 2,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.39 : 5,848.71 = 1,704.84 : x
  2. Step 2: Convert to fraction form
    3,897.39/5,848.71 = 1,704.84/x
  3. Step 3: Cross multiply
    3,897.39x = 5,848.71 × 1,704.84
  4. Step 4: Simplify right side
    3,897.39x = 9,971,114.76
  5. Step 5: Solve for x
    x = 9,971,114.76/3,897.39
  6. Step 6: Final answer
    x = 2,558.41

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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.