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Finding the Fourth Proportional to 4,688.76, 7,033.54 and 1,226

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Solution

The fourth proportional to 4,688.76, 7,033.54 and 1,226 is: 1,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.76 : 7,033.54 = 1,226 : x
  2. Step 2: Convert to fraction form
    4,688.76/7,033.54 = 1,226/x
  3. Step 3: Cross multiply
    4,688.76x = 7,033.54 × 1,226
  4. Step 4: Simplify right side
    4,688.76x = 8,623,120.04
  5. Step 5: Solve for x
    x = 8,623,120.04/4,688.76
  6. Step 6: Final answer
    x = 1,839.10

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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.