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Finding the Fourth Proportional to 5,097.36, 7,033.16 and 2,971.62

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Solution

The fourth proportional to 5,097.36, 7,033.16 and 2,971.62 is: 4,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.36 : 7,033.16 = 2,971.62 : x
  2. Step 2: Convert to fraction form
    5,097.36/7,033.16 = 2,971.62/x
  3. Step 3: Cross multiply
    5,097.36x = 7,033.16 × 2,971.62
  4. Step 4: Simplify right side
    5,097.36x = 20,899,886.35
  5. Step 5: Solve for x
    x = 20,899,886.35/5,097.36
  6. Step 6: Final answer
    x = 4,100.14

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1.5x scale

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.