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Finding the Fourth Proportional to 5,854.57, 8,077.67 and 3,495.85

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Solution

The fourth proportional to 5,854.57, 8,077.67 and 3,495.85 is: 4,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.57 : 8,077.67 = 3,495.85 : x
  2. Step 2: Convert to fraction form
    5,854.57/8,077.67 = 3,495.85/x
  3. Step 3: Cross multiply
    5,854.57x = 8,077.67 × 3,495.85
  4. Step 4: Simplify right side
    5,854.57x = 28,238,322.67
  5. Step 5: Solve for x
    x = 28,238,322.67/5,854.57
  6. Step 6: Final answer
    x = 4,823.30

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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.