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Finding the Fourth Proportional to 5,423.48, 7,465.14 and 3,848.84

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Solution

The fourth proportional to 5,423.48, 7,465.14 and 3,848.84 is: 5,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.48 : 7,465.14 = 3,848.84 : x
  2. Step 2: Convert to fraction form
    5,423.48/7,465.14 = 3,848.84/x
  3. Step 3: Cross multiply
    5,423.48x = 7,465.14 × 3,848.84
  4. Step 4: Simplify right side
    5,423.48x = 28,732,129.44
  5. Step 5: Solve for x
    x = 28,732,129.44/5,423.48
  6. Step 6: Final answer
    x = 5,297.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.