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Finding the Fourth Proportional to 5,054, 7,584.40 and 1,767.08

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Solution

The fourth proportional to 5,054, 7,584.40 and 1,767.08 is: 2,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054 : 7,584.40 = 1,767.08 : x
  2. Step 2: Convert to fraction form
    5,054/7,584.40 = 1,767.08/x
  3. Step 3: Cross multiply
    5,054x = 7,584.40 × 1,767.08
  4. Step 4: Simplify right side
    5,054x = 13,402,241.55
  5. Step 5: Solve for x
    x = 13,402,241.55/5,054
  6. Step 6: Final answer
    x = 2,651.81

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