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Finding the Fourth Proportional to 4,302.36, 6,448.68 and 1,989

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Solution

The fourth proportional to 4,302.36, 6,448.68 and 1,989 is: 2,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.36 : 6,448.68 = 1,989 : x
  2. Step 2: Convert to fraction form
    4,302.36/6,448.68 = 1,989/x
  3. Step 3: Cross multiply
    4,302.36x = 6,448.68 × 1,989
  4. Step 4: Simplify right side
    4,302.36x = 12,826,424.52
  5. Step 5: Solve for x
    x = 12,826,424.52/4,302.36
  6. Step 6: Final answer
    x = 2,981.25

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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.