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Finding the Fourth Proportional to 4,176.63, 6,230.86 and 3,848.58

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Solution

The fourth proportional to 4,176.63, 6,230.86 and 3,848.58 is: 5,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.63 : 6,230.86 = 3,848.58 : x
  2. Step 2: Convert to fraction form
    4,176.63/6,230.86 = 3,848.58/x
  3. Step 3: Cross multiply
    4,176.63x = 6,230.86 × 3,848.58
  4. Step 4: Simplify right side
    4,176.63x = 23,979,953.56
  5. Step 5: Solve for x
    x = 23,979,953.56/4,176.63
  6. Step 6: Final answer
    x = 5,741.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.