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Finding the Fourth Proportional to 5,583.14, 8,368.83 and 1,881.86

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Solution

The fourth proportional to 5,583.14, 8,368.83 and 1,881.86 is: 2,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.14 : 8,368.83 = 1,881.86 : x
  2. Step 2: Convert to fraction form
    5,583.14/8,368.83 = 1,881.86/x
  3. Step 3: Cross multiply
    5,583.14x = 8,368.83 × 1,881.86
  4. Step 4: Simplify right side
    5,583.14x = 15,748,966.42
  5. Step 5: Solve for x
    x = 15,748,966.42/5,583.14
  6. Step 6: Final answer
    x = 2,820.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.