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Finding the Fourth Proportional to 5,626.32, 7,764.90 and 3,389.16

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Solution

The fourth proportional to 5,626.32, 7,764.90 and 3,389.16 is: 4,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.32 : 7,764.90 = 3,389.16 : x
  2. Step 2: Convert to fraction form
    5,626.32/7,764.90 = 3,389.16/x
  3. Step 3: Cross multiply
    5,626.32x = 7,764.90 × 3,389.16
  4. Step 4: Simplify right side
    5,626.32x = 26,316,488.48
  5. Step 5: Solve for x
    x = 26,316,488.48/5,626.32
  6. Step 6: Final answer
    x = 4,677.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.