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Finding the Fourth Proportional to 5,223.59, 7,820.33 and 3,470.34

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Solution

The fourth proportional to 5,223.59, 7,820.33 and 3,470.34 is: 5,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.59 : 7,820.33 = 3,470.34 : x
  2. Step 2: Convert to fraction form
    5,223.59/7,820.33 = 3,470.34/x
  3. Step 3: Cross multiply
    5,223.59x = 7,820.33 × 3,470.34
  4. Step 4: Simplify right side
    5,223.59x = 27,139,186.66
  5. Step 5: Solve for x
    x = 27,139,186.66/5,223.59
  6. Step 6: Final answer
    x = 5,195.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.