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Finding the Fourth Proportional to 5,851.76, 8,073.32 and 3,461.24

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Solution

The fourth proportional to 5,851.76, 8,073.32 and 3,461.24 is: 4,775.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.76 : 8,073.32 = 3,461.24 : x
  2. Step 2: Convert to fraction form
    5,851.76/8,073.32 = 3,461.24/x
  3. Step 3: Cross multiply
    5,851.76x = 8,073.32 × 3,461.24
  4. Step 4: Simplify right side
    5,851.76x = 27,943,698.12
  5. Step 5: Solve for x
    x = 27,943,698.12/5,851.76
  6. Step 6: Final answer
    x = 4,775.26

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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.