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Finding the Fourth Proportional to 5,930.76, 8,160.84 and 5,750.40

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Solution

The fourth proportional to 5,930.76, 8,160.84 and 5,750.40 is: 7,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.76 : 8,160.84 = 5,750.40 : x
  2. Step 2: Convert to fraction form
    5,930.76/8,160.84 = 5,750.40/x
  3. Step 3: Cross multiply
    5,930.76x = 8,160.84 × 5,750.40
  4. Step 4: Simplify right side
    5,930.76x = 46,928,094.34
  5. Step 5: Solve for x
    x = 46,928,094.34/5,930.76
  6. Step 6: Final answer
    x = 7,912.66

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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.