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Finding the Fourth Proportional to 5,470.02, 8,204.76 and 2,007

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Solution

The fourth proportional to 5,470.02, 8,204.76 and 2,007 is: 3,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.02 : 8,204.76 = 2,007 : x
  2. Step 2: Convert to fraction form
    5,470.02/8,204.76 = 2,007/x
  3. Step 3: Cross multiply
    5,470.02x = 8,204.76 × 2,007
  4. Step 4: Simplify right side
    5,470.02x = 16,466,953.32
  5. Step 5: Solve for x
    x = 16,466,953.32/5,470.02
  6. Step 6: Final answer
    x = 3,010.40

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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.