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Finding the Fourth Proportional to 4,056.75, 5,598.36 and 2,264.40

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Solution

The fourth proportional to 4,056.75, 5,598.36 and 2,264.40 is: 3,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.75 : 5,598.36 = 2,264.40 : x
  2. Step 2: Convert to fraction form
    4,056.75/5,598.36 = 2,264.40/x
  3. Step 3: Cross multiply
    4,056.75x = 5,598.36 × 2,264.40
  4. Step 4: Simplify right side
    4,056.75x = 12,676,926.38
  5. Step 5: Solve for x
    x = 12,676,926.38/4,056.75
  6. Step 6: Final answer
    x = 3,124.90

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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.