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Finding the Fourth Proportional to 4,658.28, 6,985.62 and 1,735.92

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Solution

The fourth proportional to 4,658.28, 6,985.62 and 1,735.92 is: 2,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.28 : 6,985.62 = 1,735.92 : x
  2. Step 2: Convert to fraction form
    4,658.28/6,985.62 = 1,735.92/x
  3. Step 3: Cross multiply
    4,658.28x = 6,985.62 × 1,735.92
  4. Step 4: Simplify right side
    4,658.28x = 12,126,477.47
  5. Step 5: Solve for x
    x = 12,126,477.47/4,658.28
  6. Step 6: Final answer
    x = 2,603.21

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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.