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Finding the Fourth Proportional to 7,031.78, 9,704.44 and 4,048.58

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Solution

The fourth proportional to 7,031.78, 9,704.44 and 4,048.58 is: 5,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.78 : 9,704.44 = 4,048.58 : x
  2. Step 2: Convert to fraction form
    7,031.78/9,704.44 = 4,048.58/x
  3. Step 3: Cross multiply
    7,031.78x = 9,704.44 × 4,048.58
  4. Step 4: Simplify right side
    7,031.78x = 39,289,143.05
  5. Step 5: Solve for x
    x = 39,289,143.05/7,031.78
  6. Step 6: Final answer
    x = 5,587.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.