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Finding the Fourth Proportional to 8,580.64, 12,862.74 and 2,733.46

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Solution

The fourth proportional to 8,580.64, 12,862.74 and 2,733.46 is: 4,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.64 : 12,862.74 = 2,733.46 : x
  2. Step 2: Convert to fraction form
    8,580.64/12,862.74 = 2,733.46/x
  3. Step 3: Cross multiply
    8,580.64x = 12,862.74 × 2,733.46
  4. Step 4: Simplify right side
    8,580.64x = 35,159,785.28
  5. Step 5: Solve for x
    x = 35,159,785.28/8,580.64
  6. Step 6: Final answer
    x = 4,097.57

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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.