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Finding the Fourth Proportional to 5,829.63, 8,044.65 and 3,176.98

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Solution

The fourth proportional to 5,829.63, 8,044.65 and 3,176.98 is: 4,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.63 : 8,044.65 = 3,176.98 : x
  2. Step 2: Convert to fraction form
    5,829.63/8,044.65 = 3,176.98/x
  3. Step 3: Cross multiply
    5,829.63x = 8,044.65 × 3,176.98
  4. Step 4: Simplify right side
    5,829.63x = 25,557,672.05
  5. Step 5: Solve for x
    x = 25,557,672.05/5,829.63
  6. Step 6: Final answer
    x = 4,384.10

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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.