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Finding the Fourth Proportional to 5,054.64, 7,577.10 and 2,590.62

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Solution

The fourth proportional to 5,054.64, 7,577.10 and 2,590.62 is: 3,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.64 : 7,577.10 = 2,590.62 : x
  2. Step 2: Convert to fraction form
    5,054.64/7,577.10 = 2,590.62/x
  3. Step 3: Cross multiply
    5,054.64x = 7,577.10 × 2,590.62
  4. Step 4: Simplify right side
    5,054.64x = 19,629,386.80
  5. Step 5: Solve for x
    x = 19,629,386.80/5,054.64
  6. Step 6: Final answer
    x = 3,883.44

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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.