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Finding the Fourth Proportional to 4,830.02, 6,659.78 and 4,480.10

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Solution

The fourth proportional to 4,830.02, 6,659.78 and 4,480.10 is: 6,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.02 : 6,659.78 = 4,480.10 : x
  2. Step 2: Convert to fraction form
    4,830.02/6,659.78 = 4,480.10/x
  3. Step 3: Cross multiply
    4,830.02x = 6,659.78 × 4,480.10
  4. Step 4: Simplify right side
    4,830.02x = 29,836,480.38
  5. Step 5: Solve for x
    x = 29,836,480.38/4,830.02
  6. Step 6: Final answer
    x = 6,177.30

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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.