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Finding the Fourth Proportional to 4,730.76, 7,097.20 and 1,444.14

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Solution

The fourth proportional to 4,730.76, 7,097.20 and 1,444.14 is: 2,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.76 : 7,097.20 = 1,444.14 : x
  2. Step 2: Convert to fraction form
    4,730.76/7,097.20 = 1,444.14/x
  3. Step 3: Cross multiply
    4,730.76x = 7,097.20 × 1,444.14
  4. Step 4: Simplify right side
    4,730.76x = 10,249,350.41
  5. Step 5: Solve for x
    x = 10,249,350.41/4,730.76
  6. Step 6: Final answer
    x = 2,166.53

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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.