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Finding the Fourth Proportional to 4,764.76, 7,141.38 and 2,023

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Solution

The fourth proportional to 4,764.76, 7,141.38 and 2,023 is: 3,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.76 : 7,141.38 = 2,023 : x
  2. Step 2: Convert to fraction form
    4,764.76/7,141.38 = 2,023/x
  3. Step 3: Cross multiply
    4,764.76x = 7,141.38 × 2,023
  4. Step 4: Simplify right side
    4,764.76x = 14,447,011.74
  5. Step 5: Solve for x
    x = 14,447,011.74/4,764.76
  6. Step 6: Final answer
    x = 3,032.05

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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.