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Finding the Fourth Proportional to 5,881.84, 8,820.91 and 1,932.45

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Solution

The fourth proportional to 5,881.84, 8,820.91 and 1,932.45 is: 2,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.84 : 8,820.91 = 1,932.45 : x
  2. Step 2: Convert to fraction form
    5,881.84/8,820.91 = 1,932.45/x
  3. Step 3: Cross multiply
    5,881.84x = 8,820.91 × 1,932.45
  4. Step 4: Simplify right side
    5,881.84x = 17,045,975.61
  5. Step 5: Solve for x
    x = 17,045,975.61/5,881.84
  6. Step 6: Final answer
    x = 2,898.07

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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.