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Finding the Fourth Proportional to 4,851.60, 6,695.21 and 2,862.16

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Solution

The fourth proportional to 4,851.60, 6,695.21 and 2,862.16 is: 3,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.60 : 6,695.21 = 2,862.16 : x
  2. Step 2: Convert to fraction form
    4,851.60/6,695.21 = 2,862.16/x
  3. Step 3: Cross multiply
    4,851.60x = 6,695.21 × 2,862.16
  4. Step 4: Simplify right side
    4,851.60x = 19,162,762.25
  5. Step 5: Solve for x
    x = 19,162,762.25/4,851.60
  6. Step 6: Final answer
    x = 3,949.78

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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.