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Finding the Fourth Proportional to 5,050.98, 6,970.14 and 2,812.68

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Solution

The fourth proportional to 5,050.98, 6,970.14 and 2,812.68 is: 3,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050.98 : 6,970.14 = 2,812.68 : x
  2. Step 2: Convert to fraction form
    5,050.98/6,970.14 = 2,812.68/x
  3. Step 3: Cross multiply
    5,050.98x = 6,970.14 × 2,812.68
  4. Step 4: Simplify right side
    5,050.98x = 19,604,773.38
  5. Step 5: Solve for x
    x = 19,604,773.38/5,050.98
  6. Step 6: Final answer
    x = 3,881.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.