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Finding the Fourth Proportional to 5,937.54, 8,906.31 and 1,554.99

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Solution

The fourth proportional to 5,937.54, 8,906.31 and 1,554.99 is: 2,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.54 : 8,906.31 = 1,554.99 : x
  2. Step 2: Convert to fraction form
    5,937.54/8,906.31 = 1,554.99/x
  3. Step 3: Cross multiply
    5,937.54x = 8,906.31 × 1,554.99
  4. Step 4: Simplify right side
    5,937.54x = 13,849,222.99
  5. Step 5: Solve for x
    x = 13,849,222.99/5,937.54
  6. Step 6: Final answer
    x = 2,332.49

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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.