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Finding the Fourth Proportional to 4,472.95, 6,708.84 and 1,186.24

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Solution

The fourth proportional to 4,472.95, 6,708.84 and 1,186.24 is: 1,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.95 : 6,708.84 = 1,186.24 : x
  2. Step 2: Convert to fraction form
    4,472.95/6,708.84 = 1,186.24/x
  3. Step 3: Cross multiply
    4,472.95x = 6,708.84 × 1,186.24
  4. Step 4: Simplify right side
    4,472.95x = 7,958,294.36
  5. Step 5: Solve for x
    x = 7,958,294.36/4,472.95
  6. Step 6: Final answer
    x = 1,779.20

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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.