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Finding the Fourth Proportional to 5,854.58, 8,077.06 and 3,612.57

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Solution

The fourth proportional to 5,854.58, 8,077.06 and 3,612.57 is: 4,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.58 : 8,077.06 = 3,612.57 : x
  2. Step 2: Convert to fraction form
    5,854.58/8,077.06 = 3,612.57/x
  3. Step 3: Cross multiply
    5,854.58x = 8,077.06 × 3,612.57
  4. Step 4: Simplify right side
    5,854.58x = 29,178,944.64
  5. Step 5: Solve for x
    x = 29,178,944.64/5,854.58
  6. Step 6: Final answer
    x = 4,983.95

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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.