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Finding the Fourth Proportional to 4,274.04, 5,898.51 and 2,505

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Solution

The fourth proportional to 4,274.04, 5,898.51 and 2,505 is: 3,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.04 : 5,898.51 = 2,505 : x
  2. Step 2: Convert to fraction form
    4,274.04/5,898.51 = 2,505/x
  3. Step 3: Cross multiply
    4,274.04x = 5,898.51 × 2,505
  4. Step 4: Simplify right side
    4,274.04x = 14,775,767.55
  5. Step 5: Solve for x
    x = 14,775,767.55/4,274.04
  6. Step 6: Final answer
    x = 3,457.10

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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.