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Finding the Fourth Proportional to 5,078.16, 7,004.94 and 2,981.88

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Solution

The fourth proportional to 5,078.16, 7,004.94 and 2,981.88 is: 4,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.16 : 7,004.94 = 2,981.88 : x
  2. Step 2: Convert to fraction form
    5,078.16/7,004.94 = 2,981.88/x
  3. Step 3: Cross multiply
    5,078.16x = 7,004.94 × 2,981.88
  4. Step 4: Simplify right side
    5,078.16x = 20,887,890.49
  5. Step 5: Solve for x
    x = 20,887,890.49/5,078.16
  6. Step 6: Final answer
    x = 4,113.28

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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.