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Finding the Fourth Proportional to 4,583.34, 6,874.02 and 1,295.55

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Solution

The fourth proportional to 4,583.34, 6,874.02 and 1,295.55 is: 1,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,583.34 : 6,874.02 = 1,295.55 : x
  2. Step 2: Convert to fraction form
    4,583.34/6,874.02 = 1,295.55/x
  3. Step 3: Cross multiply
    4,583.34x = 6,874.02 × 1,295.55
  4. Step 4: Simplify right side
    4,583.34x = 8,905,636.61
  5. Step 5: Solve for x
    x = 8,905,636.61/4,583.34
  6. Step 6: Final answer
    x = 1,943.05

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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.