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Finding the Fourth Proportional to 3,053.96, 4,214.46 and 1,709.64

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Solution

The fourth proportional to 3,053.96, 4,214.46 and 1,709.64 is: 2,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.96 : 4,214.46 = 1,709.64 : x
  2. Step 2: Convert to fraction form
    3,053.96/4,214.46 = 1,709.64/x
  3. Step 3: Cross multiply
    3,053.96x = 4,214.46 × 1,709.64
  4. Step 4: Simplify right side
    3,053.96x = 7,205,209.39
  5. Step 5: Solve for x
    x = 7,205,209.39/3,053.96
  6. Step 6: Final answer
    x = 2,359.30

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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.