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Finding the Fourth Proportional to 4,196.96, 6,295.76 and 1,277.32

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Solution

The fourth proportional to 4,196.96, 6,295.76 and 1,277.32 is: 1,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.96 : 6,295.76 = 1,277.32 : x
  2. Step 2: Convert to fraction form
    4,196.96/6,295.76 = 1,277.32/x
  3. Step 3: Cross multiply
    4,196.96x = 6,295.76 × 1,277.32
  4. Step 4: Simplify right side
    4,196.96x = 8,041,700.16
  5. Step 5: Solve for x
    x = 8,041,700.16/4,196.96
  6. Step 6: Final answer
    x = 1,916.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.