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Finding the Fourth Proportional to 5,829.94, 8,746.62 and 1,881.12

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Solution

The fourth proportional to 5,829.94, 8,746.62 and 1,881.12 is: 2,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.94 : 8,746.62 = 1,881.12 : x
  2. Step 2: Convert to fraction form
    5,829.94/8,746.62 = 1,881.12/x
  3. Step 3: Cross multiply
    5,829.94x = 8,746.62 × 1,881.12
  4. Step 4: Simplify right side
    5,829.94x = 16,453,467.56
  5. Step 5: Solve for x
    x = 16,453,467.56/5,829.94
  6. Step 6: Final answer
    x = 2,822.24

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