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Finding the Fourth Proportional to 5,044.50, 6,962.31 and 4,823.10

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Solution

The fourth proportional to 5,044.50, 6,962.31 and 4,823.10 is: 6,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.50 : 6,962.31 = 4,823.10 : x
  2. Step 2: Convert to fraction form
    5,044.50/6,962.31 = 4,823.10/x
  3. Step 3: Cross multiply
    5,044.50x = 6,962.31 × 4,823.10
  4. Step 4: Simplify right side
    5,044.50x = 33,579,917.36
  5. Step 5: Solve for x
    x = 33,579,917.36/5,044.50
  6. Step 6: Final answer
    x = 6,656.74

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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.