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Finding the Fourth Proportional to 5,582.29, 7,684.23 and 4,825.72

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Solution

The fourth proportional to 5,582.29, 7,684.23 and 4,825.72 is: 6,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.29 : 7,684.23 = 4,825.72 : x
  2. Step 2: Convert to fraction form
    5,582.29/7,684.23 = 4,825.72/x
  3. Step 3: Cross multiply
    5,582.29x = 7,684.23 × 4,825.72
  4. Step 4: Simplify right side
    5,582.29x = 37,081,942.40
  5. Step 5: Solve for x
    x = 37,081,942.40/5,582.29
  6. Step 6: Final answer
    x = 6,642.78

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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.