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Finding the Fourth Proportional to 4,730.92, 7,097.92 and 1,444.01

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Solution

The fourth proportional to 4,730.92, 7,097.92 and 1,444.01 is: 2,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.92 : 7,097.92 = 1,444.01 : x
  2. Step 2: Convert to fraction form
    4,730.92/7,097.92 = 1,444.01/x
  3. Step 3: Cross multiply
    4,730.92x = 7,097.92 × 1,444.01
  4. Step 4: Simplify right side
    4,730.92x = 10,249,428.36
  5. Step 5: Solve for x
    x = 10,249,428.36/4,730.92
  6. Step 6: Final answer
    x = 2,166.48

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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.