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Finding the Fourth Proportional to 4,672.10, 7,006.80 and 1,710.20

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Solution

The fourth proportional to 4,672.10, 7,006.80 and 1,710.20 is: 2,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.10 : 7,006.80 = 1,710.20 : x
  2. Step 2: Convert to fraction form
    4,672.10/7,006.80 = 1,710.20/x
  3. Step 3: Cross multiply
    4,672.10x = 7,006.80 × 1,710.20
  4. Step 4: Simplify right side
    4,672.10x = 11,983,029.36
  5. Step 5: Solve for x
    x = 11,983,029.36/4,672.10
  6. Step 6: Final answer
    x = 2,564.81

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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.