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Finding the Fourth Proportional to 5,289.40, 7,934.10 and 3,345.40

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Solution

The fourth proportional to 5,289.40, 7,934.10 and 3,345.40 is: 5,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.40 : 7,934.10 = 3,345.40 : x
  2. Step 2: Convert to fraction form
    5,289.40/7,934.10 = 3,345.40/x
  3. Step 3: Cross multiply
    5,289.40x = 7,934.10 × 3,345.40
  4. Step 4: Simplify right side
    5,289.40x = 26,542,738.14
  5. Step 5: Solve for x
    x = 26,542,738.14/5,289.40
  6. Step 6: Final answer
    x = 5,018.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.