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Finding the Fourth Proportional to 4,214.70, 6,320.43 and 1,617.84

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Solution

The fourth proportional to 4,214.70, 6,320.43 and 1,617.84 is: 2,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.70 : 6,320.43 = 1,617.84 : x
  2. Step 2: Convert to fraction form
    4,214.70/6,320.43 = 1,617.84/x
  3. Step 3: Cross multiply
    4,214.70x = 6,320.43 × 1,617.84
  4. Step 4: Simplify right side
    4,214.70x = 10,225,444.47
  5. Step 5: Solve for x
    x = 10,225,444.47/4,214.70
  6. Step 6: Final answer
    x = 2,426.14

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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.