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Finding the Fourth Proportional to 5,288.86, 7,301.61 and 3,612.70

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Solution

The fourth proportional to 5,288.86, 7,301.61 and 3,612.70 is: 4,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.86 : 7,301.61 = 3,612.70 : x
  2. Step 2: Convert to fraction form
    5,288.86/7,301.61 = 3,612.70/x
  3. Step 3: Cross multiply
    5,288.86x = 7,301.61 × 3,612.70
  4. Step 4: Simplify right side
    5,288.86x = 26,378,526.45
  5. Step 5: Solve for x
    x = 26,378,526.45/5,288.86
  6. Step 6: Final answer
    x = 4,987.56

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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.