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Finding the Fourth Proportional to 3,783.10, 5,674.75 and 1,009.76

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Solution

The fourth proportional to 3,783.10, 5,674.75 and 1,009.76 is: 1,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.10 : 5,674.75 = 1,009.76 : x
  2. Step 2: Convert to fraction form
    3,783.10/5,674.75 = 1,009.76/x
  3. Step 3: Cross multiply
    3,783.10x = 5,674.75 × 1,009.76
  4. Step 4: Simplify right side
    3,783.10x = 5,730,125.94
  5. Step 5: Solve for x
    x = 5,730,125.94/3,783.10
  6. Step 6: Final answer
    x = 1,514.67

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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.