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Finding the Fourth Proportional to 6,034.78, 9,051.88 and 1,592.34

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Solution

The fourth proportional to 6,034.78, 9,051.88 and 1,592.34 is: 2,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.78 : 9,051.88 = 1,592.34 : x
  2. Step 2: Convert to fraction form
    6,034.78/9,051.88 = 1,592.34/x
  3. Step 3: Cross multiply
    6,034.78x = 9,051.88 × 1,592.34
  4. Step 4: Simplify right side
    6,034.78x = 14,413,670.60
  5. Step 5: Solve for x
    x = 14,413,670.60/6,034.78
  6. Step 6: Final answer
    x = 2,388.43

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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.