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Finding the Fourth Proportional to 6,599.88, 9,107.93 and 3,616.00

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Solution

The fourth proportional to 6,599.88, 9,107.93 and 3,616.00 is: 4,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.88 : 9,107.93 = 3,616.00 : x
  2. Step 2: Convert to fraction form
    6,599.88/9,107.93 = 3,616.00/x
  3. Step 3: Cross multiply
    6,599.88x = 9,107.93 × 3,616.00
  4. Step 4: Simplify right side
    6,599.88x = 32,934,261.15
  5. Step 5: Solve for x
    x = 32,934,261.15/6,599.88
  6. Step 6: Final answer
    x = 4,990.13

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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.