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Finding the Fourth Proportional to 5,051.86, 7,577.84 and 3,152.76

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Solution

The fourth proportional to 5,051.86, 7,577.84 and 3,152.76 is: 4,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.86 : 7,577.84 = 3,152.76 : x
  2. Step 2: Convert to fraction form
    5,051.86/7,577.84 = 3,152.76/x
  3. Step 3: Cross multiply
    5,051.86x = 7,577.84 × 3,152.76
  4. Step 4: Simplify right side
    5,051.86x = 23,891,110.84
  5. Step 5: Solve for x
    x = 23,891,110.84/5,051.86
  6. Step 6: Final answer
    x = 4,729.17

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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.