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Finding the Fourth Proportional to 3,641.02, 5,020.59 and 3,083.74

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Solution

The fourth proportional to 3,641.02, 5,020.59 and 3,083.74 is: 4,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.02 : 5,020.59 = 3,083.74 : x
  2. Step 2: Convert to fraction form
    3,641.02/5,020.59 = 3,083.74/x
  3. Step 3: Cross multiply
    3,641.02x = 5,020.59 × 3,083.74
  4. Step 4: Simplify right side
    3,641.02x = 15,482,194.21
  5. Step 5: Solve for x
    x = 15,482,194.21/3,641.02
  6. Step 6: Final answer
    x = 4,252.16

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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.