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Finding the Fourth Proportional to 5,358, 7,394.04 and 3,000.09

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Solution

The fourth proportional to 5,358, 7,394.04 and 3,000.09 is: 4,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358 : 7,394.04 = 3,000.09 : x
  2. Step 2: Convert to fraction form
    5,358/7,394.04 = 3,000.09/x
  3. Step 3: Cross multiply
    5,358x = 7,394.04 × 3,000.09
  4. Step 4: Simplify right side
    5,358x = 22,182,785.46
  5. Step 5: Solve for x
    x = 22,182,785.46/5,358
  6. Step 6: Final answer
    x = 4,140.12

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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.