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Finding the Fourth Proportional to 5,010.51, 7,509.61 and 2,814.63

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Solution

The fourth proportional to 5,010.51, 7,509.61 and 2,814.63 is: 4,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.51 : 7,509.61 = 2,814.63 : x
  2. Step 2: Convert to fraction form
    5,010.51/7,509.61 = 2,814.63/x
  3. Step 3: Cross multiply
    5,010.51x = 7,509.61 × 2,814.63
  4. Step 4: Simplify right side
    5,010.51x = 21,136,773.59
  5. Step 5: Solve for x
    x = 21,136,773.59/5,010.51
  6. Step 6: Final answer
    x = 4,218.49

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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.