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Finding the Fourth Proportional to 3,848.76, 5,762.16 and 3,542.58

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Solution

The fourth proportional to 3,848.76, 5,762.16 and 3,542.58 is: 5,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.76 : 5,762.16 = 3,542.58 : x
  2. Step 2: Convert to fraction form
    3,848.76/5,762.16 = 3,542.58/x
  3. Step 3: Cross multiply
    3,848.76x = 5,762.16 × 3,542.58
  4. Step 4: Simplify right side
    3,848.76x = 20,412,912.77
  5. Step 5: Solve for x
    x = 20,412,912.77/3,848.76
  6. Step 6: Final answer
    x = 5,303.76

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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.