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Finding the Fourth Proportional to 3,385.63, 5,078.56 and 1,164.44

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Solution

The fourth proportional to 3,385.63, 5,078.56 and 1,164.44 is: 1,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.63 : 5,078.56 = 1,164.44 : x
  2. Step 2: Convert to fraction form
    3,385.63/5,078.56 = 1,164.44/x
  3. Step 3: Cross multiply
    3,385.63x = 5,078.56 × 1,164.44
  4. Step 4: Simplify right side
    3,385.63x = 5,913,674.04
  5. Step 5: Solve for x
    x = 5,913,674.04/3,385.63
  6. Step 6: Final answer
    x = 1,746.70

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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.