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Finding the Fourth Proportional to 3,364.46, 5,047.23 and 1,416.95

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Solution

The fourth proportional to 3,364.46, 5,047.23 and 1,416.95 is: 2,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.46 : 5,047.23 = 1,416.95 : x
  2. Step 2: Convert to fraction form
    3,364.46/5,047.23 = 1,416.95/x
  3. Step 3: Cross multiply
    3,364.46x = 5,047.23 × 1,416.95
  4. Step 4: Simplify right side
    3,364.46x = 7,151,672.55
  5. Step 5: Solve for x
    x = 7,151,672.55/3,364.46
  6. Step 6: Final answer
    x = 2,125.65

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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.