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Finding the Fourth Proportional to 5,820.61, 8,745.51 and 5,470.69

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Solution

The fourth proportional to 5,820.61, 8,745.51 and 5,470.69 is: 8,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.61 : 8,745.51 = 5,470.69 : x
  2. Step 2: Convert to fraction form
    5,820.61/8,745.51 = 5,470.69/x
  3. Step 3: Cross multiply
    5,820.61x = 8,745.51 × 5,470.69
  4. Step 4: Simplify right side
    5,820.61x = 47,843,974.10
  5. Step 5: Solve for x
    x = 47,843,974.10/5,820.61
  6. Step 6: Final answer
    x = 8,219.75

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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.