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Finding the Fourth Proportional to 4,492.37, 6,737.64 and 1,204.70

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Solution

The fourth proportional to 4,492.37, 6,737.64 and 1,204.70 is: 1,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.37 : 6,737.64 = 1,204.70 : x
  2. Step 2: Convert to fraction form
    4,492.37/6,737.64 = 1,204.70/x
  3. Step 3: Cross multiply
    4,492.37x = 6,737.64 × 1,204.70
  4. Step 4: Simplify right side
    4,492.37x = 8,116,801.22
  5. Step 5: Solve for x
    x = 8,116,801.22/4,492.37
  6. Step 6: Final answer
    x = 1,806.80

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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.