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Finding the Fourth Proportional to 8,537.48, 12,801.58 and 3,852

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Solution

The fourth proportional to 8,537.48, 12,801.58 and 3,852 is: 5,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.48 : 12,801.58 = 3,852 : x
  2. Step 2: Convert to fraction form
    8,537.48/12,801.58 = 3,852/x
  3. Step 3: Cross multiply
    8,537.48x = 12,801.58 × 3,852
  4. Step 4: Simplify right side
    8,537.48x = 49,311,686.16
  5. Step 5: Solve for x
    x = 49,311,686.16/8,537.48
  6. Step 6: Final answer
    x = 5,775.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.