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Finding the Fourth Proportional to 4,658.72, 6,984.84 and 1,736.24

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Solution

The fourth proportional to 4,658.72, 6,984.84 and 1,736.24 is: 2,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.72 : 6,984.84 = 1,736.24 : x
  2. Step 2: Convert to fraction form
    4,658.72/6,984.84 = 1,736.24/x
  3. Step 3: Cross multiply
    4,658.72x = 6,984.84 × 1,736.24
  4. Step 4: Simplify right side
    4,658.72x = 12,127,358.60
  5. Step 5: Solve for x
    x = 12,127,358.60/4,658.72
  6. Step 6: Final answer
    x = 2,603.15

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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.