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Finding the Fourth Proportional to 4,274.52, 5,899.08 and 2,411.52

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Solution

The fourth proportional to 4,274.52, 5,899.08 and 2,411.52 is: 3,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.52 : 5,899.08 = 2,411.52 : x
  2. Step 2: Convert to fraction form
    4,274.52/5,899.08 = 2,411.52/x
  3. Step 3: Cross multiply
    4,274.52x = 5,899.08 × 2,411.52
  4. Step 4: Simplify right side
    4,274.52x = 14,225,749.40
  5. Step 5: Solve for x
    x = 14,225,749.40/4,274.52
  6. Step 6: Final answer
    x = 3,328.03

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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.