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Finding the Fourth Proportional to 5,812.59, 8,021.13 and 3,159.93

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Solution

The fourth proportional to 5,812.59, 8,021.13 and 3,159.93 is: 4,360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.59 : 8,021.13 = 3,159.93 : x
  2. Step 2: Convert to fraction form
    5,812.59/8,021.13 = 3,159.93/x
  3. Step 3: Cross multiply
    5,812.59x = 8,021.13 × 3,159.93
  4. Step 4: Simplify right side
    5,812.59x = 25,346,209.32
  5. Step 5: Solve for x
    x = 25,346,209.32/5,812.59
  6. Step 6: Final answer
    x = 4,360.57

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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.