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Finding the Fourth Proportional to 3,292.84, 4,547.15 and 2,115.96

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Solution

The fourth proportional to 3,292.84, 4,547.15 and 2,115.96 is: 2,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.84 : 4,547.15 = 2,115.96 : x
  2. Step 2: Convert to fraction form
    3,292.84/4,547.15 = 2,115.96/x
  3. Step 3: Cross multiply
    3,292.84x = 4,547.15 × 2,115.96
  4. Step 4: Simplify right side
    3,292.84x = 9,621,587.51
  5. Step 5: Solve for x
    x = 9,621,587.51/3,292.84
  6. Step 6: Final answer
    x = 2,921.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.