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Finding the Fourth Proportional to 5,854.56, 8,077.66 and 3,495.84

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Solution

The fourth proportional to 5,854.56, 8,077.66 and 3,495.84 is: 4,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.56 : 8,077.66 = 3,495.84 : x
  2. Step 2: Convert to fraction form
    5,854.56/8,077.66 = 3,495.84/x
  3. Step 3: Cross multiply
    5,854.56x = 8,077.66 × 3,495.84
  4. Step 4: Simplify right side
    5,854.56x = 28,238,206.93
  5. Step 5: Solve for x
    x = 28,238,206.93/5,854.56
  6. Step 6: Final answer
    x = 4,823.28

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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.