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Finding the Fourth Proportional to 4,148.84, 5,725.13 and 2,381.01

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Solution

The fourth proportional to 4,148.84, 5,725.13 and 2,381.01 is: 3,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.84 : 5,725.13 = 2,381.01 : x
  2. Step 2: Convert to fraction form
    4,148.84/5,725.13 = 2,381.01/x
  3. Step 3: Cross multiply
    4,148.84x = 5,725.13 × 2,381.01
  4. Step 4: Simplify right side
    4,148.84x = 13,631,579.88
  5. Step 5: Solve for x
    x = 13,631,579.88/4,148.84
  6. Step 6: Final answer
    x = 3,285.64

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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.