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Finding the Fourth Proportional to 6,158.40, 8,496 and 4,059.84

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Solution

The fourth proportional to 6,158.40, 8,496 and 4,059.84 is: 5,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.40 : 8,496 = 4,059.84 : x
  2. Step 2: Convert to fraction form
    6,158.40/8,496 = 4,059.84/x
  3. Step 3: Cross multiply
    6,158.40x = 8,496 × 4,059.84
  4. Step 4: Simplify right side
    6,158.40x = 34,492,400.64
  5. Step 5: Solve for x
    x = 34,492,400.64/6,158.40
  6. Step 6: Final answer
    x = 5,600.87

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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.