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Finding the Fourth Proportional to 5,296.16, 7,908.58 and 4,324.16

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Solution

The fourth proportional to 5,296.16, 7,908.58 and 4,324.16 is: 6,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.16 : 7,908.58 = 4,324.16 : x
  2. Step 2: Convert to fraction form
    5,296.16/7,908.58 = 4,324.16/x
  3. Step 3: Cross multiply
    5,296.16x = 7,908.58 × 4,324.16
  4. Step 4: Simplify right side
    5,296.16x = 34,197,965.29
  5. Step 5: Solve for x
    x = 34,197,965.29/5,296.16
  6. Step 6: Final answer
    x = 6,457.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.