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Finding the Fourth Proportional to 5,927.32, 8,884.80 and 2,415.80

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Solution

The fourth proportional to 5,927.32, 8,884.80 and 2,415.80 is: 3,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.32 : 8,884.80 = 2,415.80 : x
  2. Step 2: Convert to fraction form
    5,927.32/8,884.80 = 2,415.80/x
  3. Step 3: Cross multiply
    5,927.32x = 8,884.80 × 2,415.80
  4. Step 4: Simplify right side
    5,927.32x = 21,463,899.84
  5. Step 5: Solve for x
    x = 21,463,899.84/5,927.32
  6. Step 6: Final answer
    x = 3,621.18

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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.