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Finding the Fourth Proportional to 4,056.62, 5,598.05 and 2,264.09

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Solution

The fourth proportional to 4,056.62, 5,598.05 and 2,264.09 is: 3,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.62 : 5,598.05 = 2,264.09 : x
  2. Step 2: Convert to fraction form
    4,056.62/5,598.05 = 2,264.09/x
  3. Step 3: Cross multiply
    4,056.62x = 5,598.05 × 2,264.09
  4. Step 4: Simplify right side
    4,056.62x = 12,674,449.71
  5. Step 5: Solve for x
    x = 12,674,449.71/4,056.62
  6. Step 6: Final answer
    x = 3,124.39

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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.