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Finding the Fourth Proportional to 4,015.76, 6,023.68 and 1,675.76

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Solution

The fourth proportional to 4,015.76, 6,023.68 and 1,675.76 is: 2,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.76 : 6,023.68 = 1,675.76 : x
  2. Step 2: Convert to fraction form
    4,015.76/6,023.68 = 1,675.76/x
  3. Step 3: Cross multiply
    4,015.76x = 6,023.68 × 1,675.76
  4. Step 4: Simplify right side
    4,015.76x = 10,094,242.00
  5. Step 5: Solve for x
    x = 10,094,242.00/4,015.76
  6. Step 6: Final answer
    x = 2,513.66

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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.