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Finding the Fourth Proportional to 5,328.28, 7,358.82 and 3,646.72

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Solution

The fourth proportional to 5,328.28, 7,358.82 and 3,646.72 is: 5,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.28 : 7,358.82 = 3,646.72 : x
  2. Step 2: Convert to fraction form
    5,328.28/7,358.82 = 3,646.72/x
  3. Step 3: Cross multiply
    5,328.28x = 7,358.82 × 3,646.72
  4. Step 4: Simplify right side
    5,328.28x = 26,835,556.07
  5. Step 5: Solve for x
    x = 26,835,556.07/5,328.28
  6. Step 6: Final answer
    x = 5,036.44

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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.