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Finding the Fourth Proportional to 5,603.88, 7,736.57 and 3,718.02

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Solution

The fourth proportional to 5,603.88, 7,736.57 and 3,718.02 is: 5,133.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.88 : 7,736.57 = 3,718.02 : x
  2. Step 2: Convert to fraction form
    5,603.88/7,736.57 = 3,718.02/x
  3. Step 3: Cross multiply
    5,603.88x = 7,736.57 × 3,718.02
  4. Step 4: Simplify right side
    5,603.88x = 28,764,721.99
  5. Step 5: Solve for x
    x = 28,764,721.99/5,603.88
  6. Step 6: Final answer
    x = 5,133.00

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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.