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Finding the Fourth Proportional to 3,245.84, 4,868.40 and 937.52

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Solution

The fourth proportional to 3,245.84, 4,868.40 and 937.52 is: 1,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.84 : 4,868.40 = 937.52 : x
  2. Step 2: Convert to fraction form
    3,245.84/4,868.40 = 937.52/x
  3. Step 3: Cross multiply
    3,245.84x = 4,868.40 × 937.52
  4. Step 4: Simplify right side
    3,245.84x = 4,564,222.37
  5. Step 5: Solve for x
    x = 4,564,222.37/3,245.84
  6. Step 6: Final answer
    x = 1,406.18

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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.