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Finding the Fourth Proportional to 5,641.65, 8,463.08 and 1,946.53

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Solution

The fourth proportional to 5,641.65, 8,463.08 and 1,946.53 is: 2,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.65 : 8,463.08 = 1,946.53 : x
  2. Step 2: Convert to fraction form
    5,641.65/8,463.08 = 1,946.53/x
  3. Step 3: Cross multiply
    5,641.65x = 8,463.08 × 1,946.53
  4. Step 4: Simplify right side
    5,641.65x = 16,473,654.56
  5. Step 5: Solve for x
    x = 16,473,654.56/5,641.65
  6. Step 6: Final answer
    x = 2,920.01

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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.