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Finding the Fourth Proportional to 5,010.16, 7,510.10 and 2,537.48

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Solution

The fourth proportional to 5,010.16, 7,510.10 and 2,537.48 is: 3,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.16 : 7,510.10 = 2,537.48 : x
  2. Step 2: Convert to fraction form
    5,010.16/7,510.10 = 2,537.48/x
  3. Step 3: Cross multiply
    5,010.16x = 7,510.10 × 2,537.48
  4. Step 4: Simplify right side
    5,010.16x = 19,056,728.55
  5. Step 5: Solve for x
    x = 19,056,728.55/5,010.16
  6. Step 6: Final answer
    x = 3,803.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.