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Finding the Fourth Proportional to 5,317.64, 7,969.16 and 3,366.35

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Solution

The fourth proportional to 5,317.64, 7,969.16 and 3,366.35 is: 5,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.64 : 7,969.16 = 3,366.35 : x
  2. Step 2: Convert to fraction form
    5,317.64/7,969.16 = 3,366.35/x
  3. Step 3: Cross multiply
    5,317.64x = 7,969.16 × 3,366.35
  4. Step 4: Simplify right side
    5,317.64x = 26,826,925.09
  5. Step 5: Solve for x
    x = 26,826,925.09/5,317.64
  6. Step 6: Final answer
    x = 5,044.90

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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.