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Finding the Fourth Proportional to 5,398.19, 8,078.99 and 3,319.50

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Solution

The fourth proportional to 5,398.19, 8,078.99 and 3,319.50 is: 4,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.19 : 8,078.99 = 3,319.50 : x
  2. Step 2: Convert to fraction form
    5,398.19/8,078.99 = 3,319.50/x
  3. Step 3: Cross multiply
    5,398.19x = 8,078.99 × 3,319.50
  4. Step 4: Simplify right side
    5,398.19x = 26,818,210.90
  5. Step 5: Solve for x
    x = 26,818,210.90/5,398.19
  6. Step 6: Final answer
    x = 4,968.00

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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.