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Finding the Fourth Proportional to 3,780.29, 5,670.41 and 1,006.95

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Solution

The fourth proportional to 3,780.29, 5,670.41 and 1,006.95 is: 1,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.29 : 5,670.41 = 1,006.95 : x
  2. Step 2: Convert to fraction form
    3,780.29/5,670.41 = 1,006.95/x
  3. Step 3: Cross multiply
    3,780.29x = 5,670.41 × 1,006.95
  4. Step 4: Simplify right side
    3,780.29x = 5,709,814.31
  5. Step 5: Solve for x
    x = 5,709,814.31/3,780.29
  6. Step 6: Final answer
    x = 1,510.42

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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.