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Finding the Fourth Proportional to 3,412.65, 5,119.02 and 2,483.76

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Solution

The fourth proportional to 3,412.65, 5,119.02 and 2,483.76 is: 3,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.65 : 5,119.02 = 2,483.76 : x
  2. Step 2: Convert to fraction form
    3,412.65/5,119.02 = 2,483.76/x
  3. Step 3: Cross multiply
    3,412.65x = 5,119.02 × 2,483.76
  4. Step 4: Simplify right side
    3,412.65x = 12,714,417.12
  5. Step 5: Solve for x
    x = 12,714,417.12/3,412.65
  6. Step 6: Final answer
    x = 3,725.67

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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.