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Finding the Fourth Proportional to 4,316, 5,956.08 and 2,453.36

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Solution

The fourth proportional to 4,316, 5,956.08 and 2,453.36 is: 3,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316 : 5,956.08 = 2,453.36 : x
  2. Step 2: Convert to fraction form
    4,316/5,956.08 = 2,453.36/x
  3. Step 3: Cross multiply
    4,316x = 5,956.08 × 2,453.36
  4. Step 4: Simplify right side
    4,316x = 14,612,408.43
  5. Step 5: Solve for x
    x = 14,612,408.43/4,316
  6. Step 6: Final answer
    x = 3,385.64

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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.