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Finding the Fourth Proportional to 4,659.84, 6,987.60 and 1,736.28

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Solution

The fourth proportional to 4,659.84, 6,987.60 and 1,736.28 is: 2,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.84 : 6,987.60 = 1,736.28 : x
  2. Step 2: Convert to fraction form
    4,659.84/6,987.60 = 1,736.28/x
  3. Step 3: Cross multiply
    4,659.84x = 6,987.60 × 1,736.28
  4. Step 4: Simplify right side
    4,659.84x = 12,132,430.13
  5. Step 5: Solve for x
    x = 12,132,430.13/4,659.84
  6. Step 6: Final answer
    x = 2,603.62

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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.