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Finding the Fourth Proportional to 5,228.28, 7,830.07 and 4,125.26

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Solution

The fourth proportional to 5,228.28, 7,830.07 and 4,125.26 is: 6,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.28 : 7,830.07 = 4,125.26 : x
  2. Step 2: Convert to fraction form
    5,228.28/7,830.07 = 4,125.26/x
  3. Step 3: Cross multiply
    5,228.28x = 7,830.07 × 4,125.26
  4. Step 4: Simplify right side
    5,228.28x = 32,301,083.83
  5. Step 5: Solve for x
    x = 32,301,083.83/5,228.28
  6. Step 6: Final answer
    x = 6,178.15

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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.