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Finding the Fourth Proportional to 3,542.16, 4,887.96 and 1,970.22

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Solution

The fourth proportional to 3,542.16, 4,887.96 and 1,970.22 is: 2,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.16 : 4,887.96 = 1,970.22 : x
  2. Step 2: Convert to fraction form
    3,542.16/4,887.96 = 1,970.22/x
  3. Step 3: Cross multiply
    3,542.16x = 4,887.96 × 1,970.22
  4. Step 4: Simplify right side
    3,542.16x = 9,630,356.55
  5. Step 5: Solve for x
    x = 9,630,356.55/3,542.16
  6. Step 6: Final answer
    x = 2,718.78

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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.