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Finding the Fourth Proportional to 3,460.35, 5,186.82 and 1,702.92

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Solution

The fourth proportional to 3,460.35, 5,186.82 and 1,702.92 is: 2,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.35 : 5,186.82 = 1,702.92 : x
  2. Step 2: Convert to fraction form
    3,460.35/5,186.82 = 1,702.92/x
  3. Step 3: Cross multiply
    3,460.35x = 5,186.82 × 1,702.92
  4. Step 4: Simplify right side
    3,460.35x = 8,832,739.51
  5. Step 5: Solve for x
    x = 8,832,739.51/3,460.35
  6. Step 6: Final answer
    x = 2,552.56

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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.