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Finding the Fourth Proportional to 3,127.02, 4,321 and 2,975.20

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Solution

The fourth proportional to 3,127.02, 4,321 and 2,975.20 is: 4,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.02 : 4,321 = 2,975.20 : x
  2. Step 2: Convert to fraction form
    3,127.02/4,321 = 2,975.20/x
  3. Step 3: Cross multiply
    3,127.02x = 4,321 × 2,975.20
  4. Step 4: Simplify right side
    3,127.02x = 12,855,839.20
  5. Step 5: Solve for x
    x = 12,855,839.20/3,127.02
  6. Step 6: Final answer
    x = 4,111.21

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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.