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Finding the Fourth Proportional to 5,066.50, 7,597.11 and 2,290.78

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Solution

The fourth proportional to 5,066.50, 7,597.11 and 2,290.78 is: 3,434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.50 : 7,597.11 = 2,290.78 : x
  2. Step 2: Convert to fraction form
    5,066.50/7,597.11 = 2,290.78/x
  3. Step 3: Cross multiply
    5,066.50x = 7,597.11 × 2,290.78
  4. Step 4: Simplify right side
    5,066.50x = 17,403,307.65
  5. Step 5: Solve for x
    x = 17,403,307.65/5,066.50
  6. Step 6: Final answer
    x = 3,434.98

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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.