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Finding the Fourth Proportional to 5,342.34, 8,013.55 and 1,644.60

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Solution

The fourth proportional to 5,342.34, 8,013.55 and 1,644.60 is: 2,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.34 : 8,013.55 = 1,644.60 : x
  2. Step 2: Convert to fraction form
    5,342.34/8,013.55 = 1,644.60/x
  3. Step 3: Cross multiply
    5,342.34x = 8,013.55 × 1,644.60
  4. Step 4: Simplify right side
    5,342.34x = 13,179,068.28
  5. Step 5: Solve for x
    x = 13,179,068.28/5,342.34
  6. Step 6: Final answer
    x = 2,466.91

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1.5x scale

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.