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Finding the Fourth Proportional to 5,495.38, 7,582.53 and 3,258.94

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Solution

The fourth proportional to 5,495.38, 7,582.53 and 3,258.94 is: 4,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.38 : 7,582.53 = 3,258.94 : x
  2. Step 2: Convert to fraction form
    5,495.38/7,582.53 = 3,258.94/x
  3. Step 3: Cross multiply
    5,495.38x = 7,582.53 × 3,258.94
  4. Step 4: Simplify right side
    5,495.38x = 24,711,010.32
  5. Step 5: Solve for x
    x = 24,711,010.32/5,495.38
  6. Step 6: Final answer
    x = 4,496.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.