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Finding the Fourth Proportional to 4,731.60, 7,097.13 and 1,444.44

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Solution

The fourth proportional to 4,731.60, 7,097.13 and 1,444.44 is: 2,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.60 : 7,097.13 = 1,444.44 : x
  2. Step 2: Convert to fraction form
    4,731.60/7,097.13 = 1,444.44/x
  3. Step 3: Cross multiply
    4,731.60x = 7,097.13 × 1,444.44
  4. Step 4: Simplify right side
    4,731.60x = 10,251,378.46
  5. Step 5: Solve for x
    x = 10,251,378.46/4,731.60
  6. Step 6: Final answer
    x = 2,166.58

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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.