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Finding the Fourth Proportional to 5,669.32, 8,506.32 and 3,069.16

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Solution

The fourth proportional to 5,669.32, 8,506.32 and 3,069.16 is: 4,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.32 : 8,506.32 = 3,069.16 : x
  2. Step 2: Convert to fraction form
    5,669.32/8,506.32 = 3,069.16/x
  3. Step 3: Cross multiply
    5,669.32x = 8,506.32 × 3,069.16
  4. Step 4: Simplify right side
    5,669.32x = 26,107,257.09
  5. Step 5: Solve for x
    x = 26,107,257.09/5,669.32
  6. Step 6: Final answer
    x = 4,605.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.