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Finding the Fourth Proportional to 3,780.47, 5,668.99 and 1,588.01

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Solution

The fourth proportional to 3,780.47, 5,668.99 and 1,588.01 is: 2,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.47 : 5,668.99 = 1,588.01 : x
  2. Step 2: Convert to fraction form
    3,780.47/5,668.99 = 1,588.01/x
  3. Step 3: Cross multiply
    3,780.47x = 5,668.99 × 1,588.01
  4. Step 4: Simplify right side
    3,780.47x = 9,002,380.49
  5. Step 5: Solve for x
    x = 9,002,380.49/3,780.47
  6. Step 6: Final answer
    x = 2,381.28

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