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Finding the Fourth Proportional to 4,363.84, 6,022.16 and 2,374.40

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Solution

The fourth proportional to 4,363.84, 6,022.16 and 2,374.40 is: 3,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.84 : 6,022.16 = 2,374.40 : x
  2. Step 2: Convert to fraction form
    4,363.84/6,022.16 = 2,374.40/x
  3. Step 3: Cross multiply
    4,363.84x = 6,022.16 × 2,374.40
  4. Step 4: Simplify right side
    4,363.84x = 14,299,008.27
  5. Step 5: Solve for x
    x = 14,299,008.27/4,363.84
  6. Step 6: Final answer
    x = 3,276.70

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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.