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Finding the Fourth Proportional to 4,123.35, 6,184.35 and 1,161.99

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Solution

The fourth proportional to 4,123.35, 6,184.35 and 1,161.99 is: 1,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.35 : 6,184.35 = 1,161.99 : x
  2. Step 2: Convert to fraction form
    4,123.35/6,184.35 = 1,161.99/x
  3. Step 3: Cross multiply
    4,123.35x = 6,184.35 × 1,161.99
  4. Step 4: Simplify right side
    4,123.35x = 7,186,152.86
  5. Step 5: Solve for x
    x = 7,186,152.86/4,123.35
  6. Step 6: Final answer
    x = 1,742.79

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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.