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Finding the Fourth Proportional to 3,412.04, 5,117.11 and 946.67

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Solution

The fourth proportional to 3,412.04, 5,117.11 and 946.67 is: 1,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.04 : 5,117.11 = 946.67 : x
  2. Step 2: Convert to fraction form
    3,412.04/5,117.11 = 946.67/x
  3. Step 3: Cross multiply
    3,412.04x = 5,117.11 × 946.67
  4. Step 4: Simplify right side
    3,412.04x = 4,844,186.57
  5. Step 5: Solve for x
    x = 4,844,186.57/3,412.04
  6. Step 6: Final answer
    x = 1,419.74

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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.