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Finding the Fourth Proportional to 3,897.68, 5,848.48 and 1,706.42

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Solution

The fourth proportional to 3,897.68, 5,848.48 and 1,706.42 is: 2,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.68 : 5,848.48 = 1,706.42 : x
  2. Step 2: Convert to fraction form
    3,897.68/5,848.48 = 1,706.42/x
  3. Step 3: Cross multiply
    3,897.68x = 5,848.48 × 1,706.42
  4. Step 4: Simplify right side
    3,897.68x = 9,979,963.24
  5. Step 5: Solve for x
    x = 9,979,963.24/3,897.68
  6. Step 6: Final answer
    x = 2,560.49

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Double scale
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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.