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Finding the Fourth Proportional to 3,417.63, 5,128.58 and 1,469.82

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Solution

The fourth proportional to 3,417.63, 5,128.58 and 1,469.82 is: 2,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.63 : 5,128.58 = 1,469.82 : x
  2. Step 2: Convert to fraction form
    3,417.63/5,128.58 = 1,469.82/x
  3. Step 3: Cross multiply
    3,417.63x = 5,128.58 × 1,469.82
  4. Step 4: Simplify right side
    3,417.63x = 7,538,089.46
  5. Step 5: Solve for x
    x = 7,538,089.46/3,417.63
  6. Step 6: Final answer
    x = 2,205.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.