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Finding the Fourth Proportional to 4,963.08, 6,848.10 and 3,390.60

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Solution

The fourth proportional to 4,963.08, 6,848.10 and 3,390.60 is: 4,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.08 : 6,848.10 = 3,390.60 : x
  2. Step 2: Convert to fraction form
    4,963.08/6,848.10 = 3,390.60/x
  3. Step 3: Cross multiply
    4,963.08x = 6,848.10 × 3,390.60
  4. Step 4: Simplify right side
    4,963.08x = 23,219,167.86
  5. Step 5: Solve for x
    x = 23,219,167.86/4,963.08
  6. Step 6: Final answer
    x = 4,678.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.