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Finding the Fourth Proportional to 3,780.59, 5,670.89 and 1,007.12

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Solution

The fourth proportional to 3,780.59, 5,670.89 and 1,007.12 is: 1,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.59 : 5,670.89 = 1,007.12 : x
  2. Step 2: Convert to fraction form
    3,780.59/5,670.89 = 1,007.12/x
  3. Step 3: Cross multiply
    3,780.59x = 5,670.89 × 1,007.12
  4. Step 4: Simplify right side
    3,780.59x = 5,711,233.35
  5. Step 5: Solve for x
    x = 5,711,233.35/3,780.59
  6. Step 6: Final answer
    x = 1,510.67

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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.