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Finding the Fourth Proportional to 4,603.64, 6,908.29 and 3,661.00

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Solution

The fourth proportional to 4,603.64, 6,908.29 and 3,661.00 is: 5,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.64 : 6,908.29 = 3,661.00 : x
  2. Step 2: Convert to fraction form
    4,603.64/6,908.29 = 3,661.00/x
  3. Step 3: Cross multiply
    4,603.64x = 6,908.29 × 3,661.00
  4. Step 4: Simplify right side
    4,603.64x = 25,291,223.27
  5. Step 5: Solve for x
    x = 25,291,223.27/4,603.64
  6. Step 6: Final answer
    x = 5,493.75

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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.