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Finding the Fourth Proportional to 5,904.42, 8,148.67 and 4,409.74

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Solution

The fourth proportional to 5,904.42, 8,148.67 and 4,409.74 is: 6,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.42 : 8,148.67 = 4,409.74 : x
  2. Step 2: Convert to fraction form
    5,904.42/8,148.67 = 4,409.74/x
  3. Step 3: Cross multiply
    5,904.42x = 8,148.67 × 4,409.74
  4. Step 4: Simplify right side
    5,904.42x = 35,933,515.21
  5. Step 5: Solve for x
    x = 35,933,515.21/5,904.42
  6. Step 6: Final answer
    x = 6,085.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.