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Finding the Fourth Proportional to 4,223.84, 6,328.44 and 2,277.40

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Solution

The fourth proportional to 4,223.84, 6,328.44 and 2,277.40 is: 3,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.84 : 6,328.44 = 2,277.40 : x
  2. Step 2: Convert to fraction form
    4,223.84/6,328.44 = 2,277.40/x
  3. Step 3: Cross multiply
    4,223.84x = 6,328.44 × 2,277.40
  4. Step 4: Simplify right side
    4,223.84x = 14,412,389.26
  5. Step 5: Solve for x
    x = 14,412,389.26/4,223.84
  6. Step 6: Final answer
    x = 3,412.15

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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.