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Finding the Fourth Proportional to 3,294.91, 4,547.18 and 1,878.87

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Solution

The fourth proportional to 3,294.91, 4,547.18 and 1,878.87 is: 2,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.91 : 4,547.18 = 1,878.87 : x
  2. Step 2: Convert to fraction form
    3,294.91/4,547.18 = 1,878.87/x
  3. Step 3: Cross multiply
    3,294.91x = 4,547.18 × 1,878.87
  4. Step 4: Simplify right side
    3,294.91x = 8,543,558.96
  5. Step 5: Solve for x
    x = 8,543,558.96/3,294.91
  6. Step 6: Final answer
    x = 2,592.96

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Why These Related Problems?

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