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Finding the Fourth Proportional to 4,954.03, 7,432.02 and 1,834.06

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Solution

The fourth proportional to 4,954.03, 7,432.02 and 1,834.06 is: 2,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.03 : 7,432.02 = 1,834.06 : x
  2. Step 2: Convert to fraction form
    4,954.03/7,432.02 = 1,834.06/x
  3. Step 3: Cross multiply
    4,954.03x = 7,432.02 × 1,834.06
  4. Step 4: Simplify right side
    4,954.03x = 13,630,784.60
  5. Step 5: Solve for x
    x = 13,630,784.60/4,954.03
  6. Step 6: Final answer
    x = 2,751.45

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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.