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Finding the Fourth Proportional to 4,471.55, 6,706.57 and 1,184.98

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Solution

The fourth proportional to 4,471.55, 6,706.57 and 1,184.98 is: 1,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.55 : 6,706.57 = 1,184.98 : x
  2. Step 2: Convert to fraction form
    4,471.55/6,706.57 = 1,184.98/x
  3. Step 3: Cross multiply
    4,471.55x = 6,706.57 × 1,184.98
  4. Step 4: Simplify right side
    4,471.55x = 7,947,111.86
  5. Step 5: Solve for x
    x = 7,947,111.86/4,471.55
  6. Step 6: Final answer
    x = 1,777.26

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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.