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Finding the Fourth Proportional to 5,506.38, 7,597.09 and 3,148.07

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Solution

The fourth proportional to 5,506.38, 7,597.09 and 3,148.07 is: 4,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.38 : 7,597.09 = 3,148.07 : x
  2. Step 2: Convert to fraction form
    5,506.38/7,597.09 = 3,148.07/x
  3. Step 3: Cross multiply
    5,506.38x = 7,597.09 × 3,148.07
  4. Step 4: Simplify right side
    5,506.38x = 23,916,137.07
  5. Step 5: Solve for x
    x = 23,916,137.07/5,506.38
  6. Step 6: Final answer
    x = 4,343.35

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Why These Related Problems?

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