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Finding the Fourth Proportional to 3,887.08, 5,827.40 and 1,545.64

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Solution

The fourth proportional to 3,887.08, 5,827.40 and 1,545.64 is: 2,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.08 : 5,827.40 = 1,545.64 : x
  2. Step 2: Convert to fraction form
    3,887.08/5,827.40 = 1,545.64/x
  3. Step 3: Cross multiply
    3,887.08x = 5,827.40 × 1,545.64
  4. Step 4: Simplify right side
    3,887.08x = 9,007,062.54
  5. Step 5: Solve for x
    x = 9,007,062.54/3,887.08
  6. Step 6: Final answer
    x = 2,317.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.