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Finding the Fourth Proportional to 5,409.61, 8,111.50 and 2,776.03

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Solution

The fourth proportional to 5,409.61, 8,111.50 and 2,776.03 is: 4,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.61 : 8,111.50 = 2,776.03 : x
  2. Step 2: Convert to fraction form
    5,409.61/8,111.50 = 2,776.03/x
  3. Step 3: Cross multiply
    5,409.61x = 8,111.50 × 2,776.03
  4. Step 4: Simplify right side
    5,409.61x = 22,517,767.35
  5. Step 5: Solve for x
    x = 22,517,767.35/5,409.61
  6. Step 6: Final answer
    x = 4,162.55

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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.