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Finding the Fourth Proportional to 3,956.48, 5,899.68 and 3,688.40

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Solution

The fourth proportional to 3,956.48, 5,899.68 and 3,688.40 is: 5,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.48 : 5,899.68 = 3,688.40 : x
  2. Step 2: Convert to fraction form
    3,956.48/5,899.68 = 3,688.40/x
  3. Step 3: Cross multiply
    3,956.48x = 5,899.68 × 3,688.40
  4. Step 4: Simplify right side
    3,956.48x = 21,760,379.71
  5. Step 5: Solve for x
    x = 21,760,379.71/3,956.48
  6. Step 6: Final answer
    x = 5,499.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.