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Finding the Fourth Proportional to 5,854.36, 8,078.22 and 3,496

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Solution

The fourth proportional to 5,854.36, 8,078.22 and 3,496 is: 4,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.36 : 8,078.22 = 3,496 : x
  2. Step 2: Convert to fraction form
    5,854.36/8,078.22 = 3,496/x
  3. Step 3: Cross multiply
    5,854.36x = 8,078.22 × 3,496
  4. Step 4: Simplify right side
    5,854.36x = 28,241,457.12
  5. Step 5: Solve for x
    x = 28,241,457.12/5,854.36
  6. Step 6: Final answer
    x = 4,824.00

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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.