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Finding the Fourth Proportional to 5,717.34, 7,890.05 and 4,041.70

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Solution

The fourth proportional to 5,717.34, 7,890.05 and 4,041.70 is: 5,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.34 : 7,890.05 = 4,041.70 : x
  2. Step 2: Convert to fraction form
    5,717.34/7,890.05 = 4,041.70/x
  3. Step 3: Cross multiply
    5,717.34x = 7,890.05 × 4,041.70
  4. Step 4: Simplify right side
    5,717.34x = 31,889,205.46
  5. Step 5: Solve for x
    x = 31,889,205.46/5,717.34
  6. Step 6: Final answer
    x = 5,577.63

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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.