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Finding the Fourth Proportional to 5,051.91, 7,577.78 and 1,764.99

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Solution

The fourth proportional to 5,051.91, 7,577.78 and 1,764.99 is: 2,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.91 : 7,577.78 = 1,764.99 : x
  2. Step 2: Convert to fraction form
    5,051.91/7,577.78 = 1,764.99/x
  3. Step 3: Cross multiply
    5,051.91x = 7,577.78 × 1,764.99
  4. Step 4: Simplify right side
    5,051.91x = 13,374,697.10
  5. Step 5: Solve for x
    x = 13,374,697.10/5,051.91
  6. Step 6: Final answer
    x = 2,647.45

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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.