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Finding the Fourth Proportional to 4,216.77, 6,323.67 and 1,254.33

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Solution

The fourth proportional to 4,216.77, 6,323.67 and 1,254.33 is: 1,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.77 : 6,323.67 = 1,254.33 : x
  2. Step 2: Convert to fraction form
    4,216.77/6,323.67 = 1,254.33/x
  3. Step 3: Cross multiply
    4,216.77x = 6,323.67 × 1,254.33
  4. Step 4: Simplify right side
    4,216.77x = 7,931,968.99
  5. Step 5: Solve for x
    x = 7,931,968.99/4,216.77
  6. Step 6: Final answer
    x = 1,881.05

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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.