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Finding the Fourth Proportional to 5,554.32, 7,668.36 and 5,026

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Solution

The fourth proportional to 5,554.32, 7,668.36 and 5,026 is: 6,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,554.32 : 7,668.36 = 5,026 : x
  2. Step 2: Convert to fraction form
    5,554.32/7,668.36 = 5,026/x
  3. Step 3: Cross multiply
    5,554.32x = 7,668.36 × 5,026
  4. Step 4: Simplify right side
    5,554.32x = 38,541,177.36
  5. Step 5: Solve for x
    x = 38,541,177.36/5,554.32
  6. Step 6: Final answer
    x = 6,938.96

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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.