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Finding the Fourth Proportional to 4,656.35, 6,987.67 and 1,734.66

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Solution

The fourth proportional to 4,656.35, 6,987.67 and 1,734.66 is: 2,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.35 : 6,987.67 = 1,734.66 : x
  2. Step 2: Convert to fraction form
    4,656.35/6,987.67 = 1,734.66/x
  3. Step 3: Cross multiply
    4,656.35x = 6,987.67 × 1,734.66
  4. Step 4: Simplify right side
    4,656.35x = 12,121,227.88
  5. Step 5: Solve for x
    x = 12,121,227.88/4,656.35
  6. Step 6: Final answer
    x = 2,603.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.