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Finding the Fourth Proportional to 5,758.90, 7,961.45 and 5,706.27

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Solution

The fourth proportional to 5,758.90, 7,961.45 and 5,706.27 is: 7,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.90 : 7,961.45 = 5,706.27 : x
  2. Step 2: Convert to fraction form
    5,758.90/7,961.45 = 5,706.27/x
  3. Step 3: Cross multiply
    5,758.90x = 7,961.45 × 5,706.27
  4. Step 4: Simplify right side
    5,758.90x = 45,430,154.76
  5. Step 5: Solve for x
    x = 45,430,154.76/5,758.90
  6. Step 6: Final answer
    x = 7,888.69

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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.