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Finding the Fourth Proportional to 3,737.08, 5,605.62 and 2,197

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Solution

The fourth proportional to 3,737.08, 5,605.62 and 2,197 is: 3,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.08 : 5,605.62 = 2,197 : x
  2. Step 2: Convert to fraction form
    3,737.08/5,605.62 = 2,197/x
  3. Step 3: Cross multiply
    3,737.08x = 5,605.62 × 2,197
  4. Step 4: Simplify right side
    3,737.08x = 12,315,547.14
  5. Step 5: Solve for x
    x = 12,315,547.14/3,737.08
  6. Step 6: Final answer
    x = 3,295.50

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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.