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Finding the Fourth Proportional to 5,781.21, 8,671.49 and 1,564.40

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Solution

The fourth proportional to 5,781.21, 8,671.49 and 1,564.40 is: 2,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.21 : 8,671.49 = 1,564.40 : x
  2. Step 2: Convert to fraction form
    5,781.21/8,671.49 = 1,564.40/x
  3. Step 3: Cross multiply
    5,781.21x = 8,671.49 × 1,564.40
  4. Step 4: Simplify right side
    5,781.21x = 13,565,671.13
  5. Step 5: Solve for x
    x = 13,565,671.13/5,781.21
  6. Step 6: Final answer
    x = 2,346.51

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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.