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Finding the Fourth Proportional to 3,548.67, 4,897.17 and 2,056.67

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Solution

The fourth proportional to 3,548.67, 4,897.17 and 2,056.67 is: 2,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.67 : 4,897.17 = 2,056.67 : x
  2. Step 2: Convert to fraction form
    3,548.67/4,897.17 = 2,056.67/x
  3. Step 3: Cross multiply
    3,548.67x = 4,897.17 × 2,056.67
  4. Step 4: Simplify right side
    3,548.67x = 10,071,874.87
  5. Step 5: Solve for x
    x = 10,071,874.87/3,548.67
  6. Step 6: Final answer
    x = 2,838.21

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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.