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Finding the Fourth Proportional to 5,537.06, 7,641.03 and 3,053.06

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Solution

The fourth proportional to 5,537.06, 7,641.03 and 3,053.06 is: 4,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.06 : 7,641.03 = 3,053.06 : x
  2. Step 2: Convert to fraction form
    5,537.06/7,641.03 = 3,053.06/x
  3. Step 3: Cross multiply
    5,537.06x = 7,641.03 × 3,053.06
  4. Step 4: Simplify right side
    5,537.06x = 23,328,523.05
  5. Step 5: Solve for x
    x = 23,328,523.05/5,537.06
  6. Step 6: Final answer
    x = 4,213.16

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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.