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Finding the Fourth Proportional to 5,619.16, 8,389.85 and 5,269.24

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Solution

The fourth proportional to 5,619.16, 8,389.85 and 5,269.24 is: 7,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.16 : 8,389.85 = 5,269.24 : x
  2. Step 2: Convert to fraction form
    5,619.16/8,389.85 = 5,269.24/x
  3. Step 3: Cross multiply
    5,619.16x = 8,389.85 × 5,269.24
  4. Step 4: Simplify right side
    5,619.16x = 44,208,133.21
  5. Step 5: Solve for x
    x = 44,208,133.21/5,619.16
  6. Step 6: Final answer
    x = 7,867.39

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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.