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Finding the Fourth Proportional to 4,098.52, 6,169.93 and 3,741.40

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Solution

The fourth proportional to 4,098.52, 6,169.93 and 3,741.40 is: 5,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.52 : 6,169.93 = 3,741.40 : x
  2. Step 2: Convert to fraction form
    4,098.52/6,169.93 = 3,741.40/x
  3. Step 3: Cross multiply
    4,098.52x = 6,169.93 × 3,741.40
  4. Step 4: Simplify right side
    4,098.52x = 23,084,176.10
  5. Step 5: Solve for x
    x = 23,084,176.10/4,098.52
  6. Step 6: Final answer
    x = 5,632.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.