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Finding the Fourth Proportional to 4,761.51, 7,143.86 and 2,296.01

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Solution

The fourth proportional to 4,761.51, 7,143.86 and 2,296.01 is: 3,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.51 : 7,143.86 = 2,296.01 : x
  2. Step 2: Convert to fraction form
    4,761.51/7,143.86 = 2,296.01/x
  3. Step 3: Cross multiply
    4,761.51x = 7,143.86 × 2,296.01
  4. Step 4: Simplify right side
    4,761.51x = 16,402,357.77
  5. Step 5: Solve for x
    x = 16,402,357.77/4,761.51
  6. Step 6: Final answer
    x = 3,444.78

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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.