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Finding the Fourth Proportional to 5,827.66, 8,741.69 and 1,931.96

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Solution

The fourth proportional to 5,827.66, 8,741.69 and 1,931.96 is: 2,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.66 : 8,741.69 = 1,931.96 : x
  2. Step 2: Convert to fraction form
    5,827.66/8,741.69 = 1,931.96/x
  3. Step 3: Cross multiply
    5,827.66x = 8,741.69 × 1,931.96
  4. Step 4: Simplify right side
    5,827.66x = 16,888,595.41
  5. Step 5: Solve for x
    x = 16,888,595.41/5,827.66
  6. Step 6: Final answer
    x = 2,898.01

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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.