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Finding the Fourth Proportional to 5,117.64, 7,061.77 and 2,880.28

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Solution

The fourth proportional to 5,117.64, 7,061.77 and 2,880.28 is: 3,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.64 : 7,061.77 = 2,880.28 : x
  2. Step 2: Convert to fraction form
    5,117.64/7,061.77 = 2,880.28/x
  3. Step 3: Cross multiply
    5,117.64x = 7,061.77 × 2,880.28
  4. Step 4: Simplify right side
    5,117.64x = 20,339,871.12
  5. Step 5: Solve for x
    x = 20,339,871.12/5,117.64
  6. Step 6: Final answer
    x = 3,974.47

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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.