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Finding the Fourth Proportional to 5,289.83, 7,301.57 and 3,053.17

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Solution

The fourth proportional to 5,289.83, 7,301.57 and 3,053.17 is: 4,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.83 : 7,301.57 = 3,053.17 : x
  2. Step 2: Convert to fraction form
    5,289.83/7,301.57 = 3,053.17/x
  3. Step 3: Cross multiply
    5,289.83x = 7,301.57 × 3,053.17
  4. Step 4: Simplify right side
    5,289.83x = 22,292,923.86
  5. Step 5: Solve for x
    x = 22,292,923.86/5,289.83
  6. Step 6: Final answer
    x = 4,214.30

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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.