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Finding the Fourth Proportional to 3,434.70, 4,735.56 and 2,804.58

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Solution

The fourth proportional to 3,434.70, 4,735.56 and 2,804.58 is: 3,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.70 : 4,735.56 = 2,804.58 : x
  2. Step 2: Convert to fraction form
    3,434.70/4,735.56 = 2,804.58/x
  3. Step 3: Cross multiply
    3,434.70x = 4,735.56 × 2,804.58
  4. Step 4: Simplify right side
    3,434.70x = 13,281,256.86
  5. Step 5: Solve for x
    x = 13,281,256.86/3,434.70
  6. Step 6: Final answer
    x = 3,866.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.