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Finding the Fourth Proportional to 5,210.28, 7,823.34 and 4,551.78

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Solution

The fourth proportional to 5,210.28, 7,823.34 and 4,551.78 is: 6,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.28 : 7,823.34 = 4,551.78 : x
  2. Step 2: Convert to fraction form
    5,210.28/7,823.34 = 4,551.78/x
  3. Step 3: Cross multiply
    5,210.28x = 7,823.34 × 4,551.78
  4. Step 4: Simplify right side
    5,210.28x = 35,610,122.55
  5. Step 5: Solve for x
    x = 35,610,122.55/5,210.28
  6. Step 6: Final answer
    x = 6,834.59

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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.