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Finding the Fourth Proportional to 4,878, 7,310.16 and 3,235.68

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Solution

The fourth proportional to 4,878, 7,310.16 and 3,235.68 is: 4,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878 : 7,310.16 = 3,235.68 : x
  2. Step 2: Convert to fraction form
    4,878/7,310.16 = 3,235.68/x
  3. Step 3: Cross multiply
    4,878x = 7,310.16 × 3,235.68
  4. Step 4: Simplify right side
    4,878x = 23,653,338.51
  5. Step 5: Solve for x
    x = 23,653,338.51/4,878
  6. Step 6: Final answer
    x = 4,848.98

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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.