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Finding the Fourth Proportional to 3,497.76, 4,816.50 and 3,420.17

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Solution

The fourth proportional to 3,497.76, 4,816.50 and 3,420.17 is: 4,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.76 : 4,816.50 = 3,420.17 : x
  2. Step 2: Convert to fraction form
    3,497.76/4,816.50 = 3,420.17/x
  3. Step 3: Cross multiply
    3,497.76x = 4,816.50 × 3,420.17
  4. Step 4: Simplify right side
    3,497.76x = 16,473,224.72
  5. Step 5: Solve for x
    x = 16,473,224.72/3,497.76
  6. Step 6: Final answer
    x = 4,709.65

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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.