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Finding the Fourth Proportional to 5,799.12, 8,006.64 and 3,442.02

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Solution

The fourth proportional to 5,799.12, 8,006.64 and 3,442.02 is: 4,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.12 : 8,006.64 = 3,442.02 : x
  2. Step 2: Convert to fraction form
    5,799.12/8,006.64 = 3,442.02/x
  3. Step 3: Cross multiply
    5,799.12x = 8,006.64 × 3,442.02
  4. Step 4: Simplify right side
    5,799.12x = 27,559,015.01
  5. Step 5: Solve for x
    x = 27,559,015.01/5,799.12
  6. Step 6: Final answer
    x = 4,752.28

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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.