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Finding the Fourth Proportional to 3,705.65, 5,532.06 and 3,575.87

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Solution

The fourth proportional to 3,705.65, 5,532.06 and 3,575.87 is: 5,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.65 : 5,532.06 = 3,575.87 : x
  2. Step 2: Convert to fraction form
    3,705.65/5,532.06 = 3,575.87/x
  3. Step 3: Cross multiply
    3,705.65x = 5,532.06 × 3,575.87
  4. Step 4: Simplify right side
    3,705.65x = 19,781,927.39
  5. Step 5: Solve for x
    x = 19,781,927.39/3,705.65
  6. Step 6: Final answer
    x = 5,338.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.