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Finding the Fourth Proportional to 5,746.71, 7,930.58 and 4,489.23

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Solution

The fourth proportional to 5,746.71, 7,930.58 and 4,489.23 is: 6,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.71 : 7,930.58 = 4,489.23 : x
  2. Step 2: Convert to fraction form
    5,746.71/7,930.58 = 4,489.23/x
  3. Step 3: Cross multiply
    5,746.71x = 7,930.58 × 4,489.23
  4. Step 4: Simplify right side
    5,746.71x = 35,602,175.21
  5. Step 5: Solve for x
    x = 35,602,175.21/5,746.71
  6. Step 6: Final answer
    x = 6,195.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.