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Finding the Fourth Proportional to 5,758.38, 7,945.14 and 3,240

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Solution

The fourth proportional to 5,758.38, 7,945.14 and 3,240 is: 4,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.38 : 7,945.14 = 3,240 : x
  2. Step 2: Convert to fraction form
    5,758.38/7,945.14 = 3,240/x
  3. Step 3: Cross multiply
    5,758.38x = 7,945.14 × 3,240
  4. Step 4: Simplify right side
    5,758.38x = 25,742,253.60
  5. Step 5: Solve for x
    x = 25,742,253.60/5,758.38
  6. Step 6: Final answer
    x = 4,470.40

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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.