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Finding the Fourth Proportional to 5,369.29, 8,045.12 and 5,164.26

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Solution

The fourth proportional to 5,369.29, 8,045.12 and 5,164.26 is: 7,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.29 : 8,045.12 = 5,164.26 : x
  2. Step 2: Convert to fraction form
    5,369.29/8,045.12 = 5,164.26/x
  3. Step 3: Cross multiply
    5,369.29x = 8,045.12 × 5,164.26
  4. Step 4: Simplify right side
    5,369.29x = 41,547,074.15
  5. Step 5: Solve for x
    x = 41,547,074.15/5,369.29
  6. Step 6: Final answer
    x = 7,737.91

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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.