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Finding the Fourth Proportional to 5,291.41, 7,302.18 and 3,053.38

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Solution

The fourth proportional to 5,291.41, 7,302.18 and 3,053.38 is: 4,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.41 : 7,302.18 = 3,053.38 : x
  2. Step 2: Convert to fraction form
    5,291.41/7,302.18 = 3,053.38/x
  3. Step 3: Cross multiply
    5,291.41x = 7,302.18 × 3,053.38
  4. Step 4: Simplify right side
    5,291.41x = 22,296,330.37
  5. Step 5: Solve for x
    x = 22,296,330.37/5,291.41
  6. Step 6: Final answer
    x = 4,213.68

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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.