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Finding the Fourth Proportional to 6,316.71, 8,710.60 and 4,191.49

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Solution

The fourth proportional to 6,316.71, 8,710.60 and 4,191.49 is: 5,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.71 : 8,710.60 = 4,191.49 : x
  2. Step 2: Convert to fraction form
    6,316.71/8,710.60 = 4,191.49/x
  3. Step 3: Cross multiply
    6,316.71x = 8,710.60 × 4,191.49
  4. Step 4: Simplify right side
    6,316.71x = 36,510,392.79
  5. Step 5: Solve for x
    x = 36,510,392.79/6,316.71
  6. Step 6: Final answer
    x = 5,779.97

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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.