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Finding the Fourth Proportional to 4,605.36, 6,356.25 and 4,324.02

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Solution

The fourth proportional to 4,605.36, 6,356.25 and 4,324.02 is: 5,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.36 : 6,356.25 = 4,324.02 : x
  2. Step 2: Convert to fraction form
    4,605.36/6,356.25 = 4,324.02/x
  3. Step 3: Cross multiply
    4,605.36x = 6,356.25 × 4,324.02
  4. Step 4: Simplify right side
    4,605.36x = 27,484,552.13
  5. Step 5: Solve for x
    x = 27,484,552.13/4,605.36
  6. Step 6: Final answer
    x = 5,967.95

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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.