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Finding the Fourth Proportional to 4,447.52, 6,671.40 and 1,160.54

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Solution

The fourth proportional to 4,447.52, 6,671.40 and 1,160.54 is: 1,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.52 : 6,671.40 = 1,160.54 : x
  2. Step 2: Convert to fraction form
    4,447.52/6,671.40 = 1,160.54/x
  3. Step 3: Cross multiply
    4,447.52x = 6,671.40 × 1,160.54
  4. Step 4: Simplify right side
    4,447.52x = 7,742,426.56
  5. Step 5: Solve for x
    x = 7,742,426.56/4,447.52
  6. Step 6: Final answer
    x = 1,740.84

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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.