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Finding the Fourth Proportional to 5,562.65, 8,344.93 and 1,865.23

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Solution

The fourth proportional to 5,562.65, 8,344.93 and 1,865.23 is: 2,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.65 : 8,344.93 = 1,865.23 : x
  2. Step 2: Convert to fraction form
    5,562.65/8,344.93 = 1,865.23/x
  3. Step 3: Cross multiply
    5,562.65x = 8,344.93 × 1,865.23
  4. Step 4: Simplify right side
    5,562.65x = 15,565,223.05
  5. Step 5: Solve for x
    x = 15,565,223.05/5,562.65
  6. Step 6: Final answer
    x = 2,798.17

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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.