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Finding the Fourth Proportional to 4,670.74, 7,006.14 and 3,205.46

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Solution

The fourth proportional to 4,670.74, 7,006.14 and 3,205.46 is: 4,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.74 : 7,006.14 = 3,205.46 : x
  2. Step 2: Convert to fraction form
    4,670.74/7,006.14 = 3,205.46/x
  3. Step 3: Cross multiply
    4,670.74x = 7,006.14 × 3,205.46
  4. Step 4: Simplify right side
    4,670.74x = 22,457,901.52
  5. Step 5: Solve for x
    x = 22,457,901.52/4,670.74
  6. Step 6: Final answer
    x = 4,808.21

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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.