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Finding the Fourth Proportional to 5,941.50, 8,915.29 and 2,434.10

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Solution

The fourth proportional to 5,941.50, 8,915.29 and 2,434.10 is: 3,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.50 : 8,915.29 = 2,434.10 : x
  2. Step 2: Convert to fraction form
    5,941.50/8,915.29 = 2,434.10/x
  3. Step 3: Cross multiply
    5,941.50x = 8,915.29 × 2,434.10
  4. Step 4: Simplify right side
    5,941.50x = 21,700,707.39
  5. Step 5: Solve for x
    x = 21,700,707.39/5,941.50
  6. Step 6: Final answer
    x = 3,652.40

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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.