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Finding the Fourth Proportional to 5,827.63, 8,045.39 and 4,462.31

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Solution

The fourth proportional to 5,827.63, 8,045.39 and 4,462.31 is: 6,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.63 : 8,045.39 = 4,462.31 : x
  2. Step 2: Convert to fraction form
    5,827.63/8,045.39 = 4,462.31/x
  3. Step 3: Cross multiply
    5,827.63x = 8,045.39 × 4,462.31
  4. Step 4: Simplify right side
    5,827.63x = 35,901,024.25
  5. Step 5: Solve for x
    x = 35,901,024.25/5,827.63
  6. Step 6: Final answer
    x = 6,160.48

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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.