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Finding the Fourth Proportional to 4,364, 6,022.16 and 2,374.50

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Solution

The fourth proportional to 4,364, 6,022.16 and 2,374.50 is: 3,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364 : 6,022.16 = 2,374.50 : x
  2. Step 2: Convert to fraction form
    4,364/6,022.16 = 2,374.50/x
  3. Step 3: Cross multiply
    4,364x = 6,022.16 × 2,374.50
  4. Step 4: Simplify right side
    4,364x = 14,299,618.92
  5. Step 5: Solve for x
    x = 14,299,618.92/4,364
  6. Step 6: Final answer
    x = 3,276.72

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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.