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Finding the Fourth Proportional to 5,066.96, 7,602.50 and 2,291.68

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Solution

The fourth proportional to 5,066.96, 7,602.50 and 2,291.68 is: 3,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.96 : 7,602.50 = 2,291.68 : x
  2. Step 2: Convert to fraction form
    5,066.96/7,602.50 = 2,291.68/x
  3. Step 3: Cross multiply
    5,066.96x = 7,602.50 × 2,291.68
  4. Step 4: Simplify right side
    5,066.96x = 17,422,497.20
  5. Step 5: Solve for x
    x = 17,422,497.20/5,066.96
  6. Step 6: Final answer
    x = 3,438.45

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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.