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Finding the Fourth Proportional to 4,032.84, 6,048.48 and 1,400.34

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Solution

The fourth proportional to 4,032.84, 6,048.48 and 1,400.34 is: 2,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.84 : 6,048.48 = 1,400.34 : x
  2. Step 2: Convert to fraction form
    4,032.84/6,048.48 = 1,400.34/x
  3. Step 3: Cross multiply
    4,032.84x = 6,048.48 × 1,400.34
  4. Step 4: Simplify right side
    4,032.84x = 8,469,928.48
  5. Step 5: Solve for x
    x = 8,469,928.48/4,032.84
  6. Step 6: Final answer
    x = 2,100.24

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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.