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Finding the Fourth Proportional to 5,569.65, 8,347.05 and 2,056.41

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Solution

The fourth proportional to 5,569.65, 8,347.05 and 2,056.41 is: 3,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.65 : 8,347.05 = 2,056.41 : x
  2. Step 2: Convert to fraction form
    5,569.65/8,347.05 = 2,056.41/x
  3. Step 3: Cross multiply
    5,569.65x = 8,347.05 × 2,056.41
  4. Step 4: Simplify right side
    5,569.65x = 17,164,957.09
  5. Step 5: Solve for x
    x = 17,164,957.09/5,569.65
  6. Step 6: Final answer
    x = 3,081.87

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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.