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Finding the Fourth Proportional to 4,153.88, 5,732.16 and 2,476.40

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Solution

The fourth proportional to 4,153.88, 5,732.16 and 2,476.40 is: 3,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.88 : 5,732.16 = 2,476.40 : x
  2. Step 2: Convert to fraction form
    4,153.88/5,732.16 = 2,476.40/x
  3. Step 3: Cross multiply
    4,153.88x = 5,732.16 × 2,476.40
  4. Step 4: Simplify right side
    4,153.88x = 14,195,121.02
  5. Step 5: Solve for x
    x = 14,195,121.02/4,153.88
  6. Step 6: Final answer
    x = 3,417.32

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Why These Related Problems?

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