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Finding the Fourth Proportional to 4,409.32, 6,616.86 and 2,101

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Solution

The fourth proportional to 4,409.32, 6,616.86 and 2,101 is: 3,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.32 : 6,616.86 = 2,101 : x
  2. Step 2: Convert to fraction form
    4,409.32/6,616.86 = 2,101/x
  3. Step 3: Cross multiply
    4,409.32x = 6,616.86 × 2,101
  4. Step 4: Simplify right side
    4,409.32x = 13,902,022.86
  5. Step 5: Solve for x
    x = 13,902,022.86/4,409.32
  6. Step 6: Final answer
    x = 3,152.87

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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.