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Finding the Fourth Proportional to 5,927.84, 8,893.10 and 2,032.01

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Solution

The fourth proportional to 5,927.84, 8,893.10 and 2,032.01 is: 3,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.84 : 8,893.10 = 2,032.01 : x
  2. Step 2: Convert to fraction form
    5,927.84/8,893.10 = 2,032.01/x
  3. Step 3: Cross multiply
    5,927.84x = 8,893.10 × 2,032.01
  4. Step 4: Simplify right side
    5,927.84x = 18,070,828.75
  5. Step 5: Solve for x
    x = 18,070,828.75/5,927.84
  6. Step 6: Final answer
    x = 3,048.47

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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.