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Finding the Fourth Proportional to 3,599.07, 4,964.40 and 3,127.38

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Solution

The fourth proportional to 3,599.07, 4,964.40 and 3,127.38 is: 4,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.07 : 4,964.40 = 3,127.38 : x
  2. Step 2: Convert to fraction form
    3,599.07/4,964.40 = 3,127.38/x
  3. Step 3: Cross multiply
    3,599.07x = 4,964.40 × 3,127.38
  4. Step 4: Simplify right side
    3,599.07x = 15,525,565.27
  5. Step 5: Solve for x
    x = 15,525,565.27/3,599.07
  6. Step 6: Final answer
    x = 4,313.77

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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.