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Finding the Fourth Proportional to 3,053.58, 4,214.07 and 2,346.45

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Solution

The fourth proportional to 3,053.58, 4,214.07 and 2,346.45 is: 3,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.58 : 4,214.07 = 2,346.45 : x
  2. Step 2: Convert to fraction form
    3,053.58/4,214.07 = 2,346.45/x
  3. Step 3: Cross multiply
    3,053.58x = 4,214.07 × 2,346.45
  4. Step 4: Simplify right side
    3,053.58x = 9,888,104.55
  5. Step 5: Solve for x
    x = 9,888,104.55/3,053.58
  6. Step 6: Final answer
    x = 3,238.20

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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.