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Finding the Fourth Proportional to 5,746.95, 7,930.80 and 3,358.59

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Solution

The fourth proportional to 5,746.95, 7,930.80 and 3,358.59 is: 4,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.95 : 7,930.80 = 3,358.59 : x
  2. Step 2: Convert to fraction form
    5,746.95/7,930.80 = 3,358.59/x
  3. Step 3: Cross multiply
    5,746.95x = 7,930.80 × 3,358.59
  4. Step 4: Simplify right side
    5,746.95x = 26,636,305.57
  5. Step 5: Solve for x
    x = 26,636,305.57/5,746.95
  6. Step 6: Final answer
    x = 4,634.86

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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.