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Finding the Fourth Proportional to 5,854.14, 8,785.62 and 4,298.22

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Solution

The fourth proportional to 5,854.14, 8,785.62 and 4,298.22 is: 6,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.14 : 8,785.62 = 4,298.22 : x
  2. Step 2: Convert to fraction form
    5,854.14/8,785.62 = 4,298.22/x
  3. Step 3: Cross multiply
    5,854.14x = 8,785.62 × 4,298.22
  4. Step 4: Simplify right side
    5,854.14x = 37,762,527.60
  5. Step 5: Solve for x
    x = 37,762,527.60/5,854.14
  6. Step 6: Final answer
    x = 6,450.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.