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Finding the Fourth Proportional to 5,869.40, 8,802.33 and 3,094.55

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Solution

The fourth proportional to 5,869.40, 8,802.33 and 3,094.55 is: 4,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.40 : 8,802.33 = 3,094.55 : x
  2. Step 2: Convert to fraction form
    5,869.40/8,802.33 = 3,094.55/x
  3. Step 3: Cross multiply
    5,869.40x = 8,802.33 × 3,094.55
  4. Step 4: Simplify right side
    5,869.40x = 27,239,245.10
  5. Step 5: Solve for x
    x = 27,239,245.10/5,869.40
  6. Step 6: Final answer
    x = 4,640.89

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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.