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Finding the Fourth Proportional to 5,337.68, 8,006.48 and 1,827.68

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Solution

The fourth proportional to 5,337.68, 8,006.48 and 1,827.68 is: 2,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.68 : 8,006.48 = 1,827.68 : x
  2. Step 2: Convert to fraction form
    5,337.68/8,006.48 = 1,827.68/x
  3. Step 3: Cross multiply
    5,337.68x = 8,006.48 × 1,827.68
  4. Step 4: Simplify right side
    5,337.68x = 14,633,283.37
  5. Step 5: Solve for x
    x = 14,633,283.37/5,337.68
  6. Step 6: Final answer
    x = 2,741.51

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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.