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Finding the Fourth Proportional to 5,867.14, 8,098.86 and 3,880.40

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Solution

The fourth proportional to 5,867.14, 8,098.86 and 3,880.40 is: 5,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.14 : 8,098.86 = 3,880.40 : x
  2. Step 2: Convert to fraction form
    5,867.14/8,098.86 = 3,880.40/x
  3. Step 3: Cross multiply
    5,867.14x = 8,098.86 × 3,880.40
  4. Step 4: Simplify right side
    5,867.14x = 31,426,816.34
  5. Step 5: Solve for x
    x = 31,426,816.34/5,867.14
  6. Step 6: Final answer
    x = 5,356.41

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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.