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Finding the Fourth Proportional to 4,316.05, 5,956 and 2,427.71

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Solution

The fourth proportional to 4,316.05, 5,956 and 2,427.71 is: 3,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.05 : 5,956 = 2,427.71 : x
  2. Step 2: Convert to fraction form
    4,316.05/5,956 = 2,427.71/x
  3. Step 3: Cross multiply
    4,316.05x = 5,956 × 2,427.71
  4. Step 4: Simplify right side
    4,316.05x = 14,459,440.76
  5. Step 5: Solve for x
    x = 14,459,440.76/4,316.05
  6. Step 6: Final answer
    x = 3,350.16

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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.