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Finding the Fourth Proportional to 4,656.92, 6,988.51 and 1,735.22

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Solution

The fourth proportional to 4,656.92, 6,988.51 and 1,735.22 is: 2,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.92 : 6,988.51 = 1,735.22 : x
  2. Step 2: Convert to fraction form
    4,656.92/6,988.51 = 1,735.22/x
  3. Step 3: Cross multiply
    4,656.92x = 6,988.51 × 1,735.22
  4. Step 4: Simplify right side
    4,656.92x = 12,126,626.84
  5. Step 5: Solve for x
    x = 12,126,626.84/4,656.92
  6. Step 6: Final answer
    x = 2,604.00

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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.