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Finding the Fourth Proportional to 4,470, 6,702.54 and 2,007.24

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Solution

The fourth proportional to 4,470, 6,702.54 and 2,007.24 is: 3,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470 : 6,702.54 = 2,007.24 : x
  2. Step 2: Convert to fraction form
    4,470/6,702.54 = 2,007.24/x
  3. Step 3: Cross multiply
    4,470x = 6,702.54 × 2,007.24
  4. Step 4: Simplify right side
    4,470x = 13,453,606.39
  5. Step 5: Solve for x
    x = 13,453,606.39/4,470
  6. Step 6: Final answer
    x = 3,009.76

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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.