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Finding the Fourth Proportional to 4,064.84, 6,099.10 and 1,725.48

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Solution

The fourth proportional to 4,064.84, 6,099.10 and 1,725.48 is: 2,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.84 : 6,099.10 = 1,725.48 : x
  2. Step 2: Convert to fraction form
    4,064.84/6,099.10 = 1,725.48/x
  3. Step 3: Cross multiply
    4,064.84x = 6,099.10 × 1,725.48
  4. Step 4: Simplify right side
    4,064.84x = 10,523,875.07
  5. Step 5: Solve for x
    x = 10,523,875.07/4,064.84
  6. Step 6: Final answer
    x = 2,589.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.