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Finding the Fourth Proportional to 4,767.38, 6,580.05 and 3,000.02

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Solution

The fourth proportional to 4,767.38, 6,580.05 and 3,000.02 is: 4,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.38 : 6,580.05 = 3,000.02 : x
  2. Step 2: Convert to fraction form
    4,767.38/6,580.05 = 3,000.02/x
  3. Step 3: Cross multiply
    4,767.38x = 6,580.05 × 3,000.02
  4. Step 4: Simplify right side
    4,767.38x = 19,740,281.60
  5. Step 5: Solve for x
    x = 19,740,281.60/4,767.38
  6. Step 6: Final answer
    x = 4,140.70

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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.