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Finding the Fourth Proportional to 3,486.66, 5,228.16 and 1,537.80

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Solution

The fourth proportional to 3,486.66, 5,228.16 and 1,537.80 is: 2,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.66 : 5,228.16 = 1,537.80 : x
  2. Step 2: Convert to fraction form
    3,486.66/5,228.16 = 1,537.80/x
  3. Step 3: Cross multiply
    3,486.66x = 5,228.16 × 1,537.80
  4. Step 4: Simplify right side
    3,486.66x = 8,039,864.45
  5. Step 5: Solve for x
    x = 8,039,864.45/3,486.66
  6. Step 6: Final answer
    x = 2,305.89

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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.