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Finding the Fourth Proportional to 5,822.48, 8,033.28 and 5,261.15

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Solution

The fourth proportional to 5,822.48, 8,033.28 and 5,261.15 is: 7,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.48 : 8,033.28 = 5,261.15 : x
  2. Step 2: Convert to fraction form
    5,822.48/8,033.28 = 5,261.15/x
  3. Step 3: Cross multiply
    5,822.48x = 8,033.28 × 5,261.15
  4. Step 4: Simplify right side
    5,822.48x = 42,264,291.43
  5. Step 5: Solve for x
    x = 42,264,291.43/5,822.48
  6. Step 6: Final answer
    x = 7,258.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.