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Finding the Fourth Proportional to 5,828.22, 8,045.19 and 4,268.70

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Solution

The fourth proportional to 5,828.22, 8,045.19 and 4,268.70 is: 5,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.22 : 8,045.19 = 4,268.70 : x
  2. Step 2: Convert to fraction form
    5,828.22/8,045.19 = 4,268.70/x
  3. Step 3: Cross multiply
    5,828.22x = 8,045.19 × 4,268.70
  4. Step 4: Simplify right side
    5,828.22x = 34,342,502.55
  5. Step 5: Solve for x
    x = 34,342,502.55/5,828.22
  6. Step 6: Final answer
    x = 5,892.45

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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.