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Finding the Fourth Proportional to 4,677.80, 7,016.64 and 1,346.13

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Solution

The fourth proportional to 4,677.80, 7,016.64 and 1,346.13 is: 2,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.80 : 7,016.64 = 1,346.13 : x
  2. Step 2: Convert to fraction form
    4,677.80/7,016.64 = 1,346.13/x
  3. Step 3: Cross multiply
    4,677.80x = 7,016.64 × 1,346.13
  4. Step 4: Simplify right side
    4,677.80x = 9,445,309.60
  5. Step 5: Solve for x
    x = 9,445,309.60/4,677.80
  6. Step 6: Final answer
    x = 2,019.18

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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.