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Finding the Fourth Proportional to 3,915.84, 5,403.84 and 2,423.28

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Solution

The fourth proportional to 3,915.84, 5,403.84 and 2,423.28 is: 3,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.84 : 5,403.84 = 2,423.28 : x
  2. Step 2: Convert to fraction form
    3,915.84/5,403.84 = 2,423.28/x
  3. Step 3: Cross multiply
    3,915.84x = 5,403.84 × 2,423.28
  4. Step 4: Simplify right side
    3,915.84x = 13,095,017.40
  5. Step 5: Solve for x
    x = 13,095,017.40/3,915.84
  6. Step 6: Final answer
    x = 3,344.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.