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Finding the Fourth Proportional to 5.64, 8.46 and 3.74

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Solution

The fourth proportional to 5.64, 8.46 and 3.74 is: 5.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.64 : 8.46 = 3.74 : x
  2. Step 2: Convert to fraction form
    5.64/8.46 = 3.74/x
  3. Step 3: Cross multiply
    5.64x = 8.46 × 3.74
  4. Step 4: Simplify right side
    5.64x = 31.58
  5. Step 5: Solve for x
    x = 31.58/5.64
  6. Step 6: Final answer
    x = 5.60

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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.