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Finding the Fourth Proportional to 5,238.02, 7,228.16 and 2,880.16

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Solution

The fourth proportional to 5,238.02, 7,228.16 and 2,880.16 is: 3,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.02 : 7,228.16 = 2,880.16 : x
  2. Step 2: Convert to fraction form
    5,238.02/7,228.16 = 2,880.16/x
  3. Step 3: Cross multiply
    5,238.02x = 7,228.16 × 2,880.16
  4. Step 4: Simplify right side
    5,238.02x = 20,818,264.51
  5. Step 5: Solve for x
    x = 20,818,264.51/5,238.02
  6. Step 6: Final answer
    x = 3,974.45

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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.