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Finding the Fourth Proportional to 5,211.02, 7,188 and 4,216.34

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Solution

The fourth proportional to 5,211.02, 7,188 and 4,216.34 is: 5,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.02 : 7,188 = 4,216.34 : x
  2. Step 2: Convert to fraction form
    5,211.02/7,188 = 4,216.34/x
  3. Step 3: Cross multiply
    5,211.02x = 7,188 × 4,216.34
  4. Step 4: Simplify right side
    5,211.02x = 30,307,051.92
  5. Step 5: Solve for x
    x = 30,307,051.92/5,211.02
  6. Step 6: Final answer
    x = 5,815.95

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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.