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Finding the Fourth Proportional to 4,281.46, 6,410.64 and 4,035.76

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Solution

The fourth proportional to 4,281.46, 6,410.64 and 4,035.76 is: 6,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.46 : 6,410.64 = 4,035.76 : x
  2. Step 2: Convert to fraction form
    4,281.46/6,410.64 = 4,035.76/x
  3. Step 3: Cross multiply
    4,281.46x = 6,410.64 × 4,035.76
  4. Step 4: Simplify right side
    4,281.46x = 25,871,804.49
  5. Step 5: Solve for x
    x = 25,871,804.49/4,281.46
  6. Step 6: Final answer
    x = 6,042.75

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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.