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Finding the Fourth Proportional to 5,935.84, 8,903.74 and 2,427.50

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Solution

The fourth proportional to 5,935.84, 8,903.74 and 2,427.50 is: 3,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.84 : 8,903.74 = 2,427.50 : x
  2. Step 2: Convert to fraction form
    5,935.84/8,903.74 = 2,427.50/x
  3. Step 3: Cross multiply
    5,935.84x = 8,903.74 × 2,427.50
  4. Step 4: Simplify right side
    5,935.84x = 21,613,828.85
  5. Step 5: Solve for x
    x = 21,613,828.85/5,935.84
  6. Step 6: Final answer
    x = 3,641.24

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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.