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Finding the Fourth Proportional to 5,051.92, 6,973.80 and 3,396.88

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Solution

The fourth proportional to 5,051.92, 6,973.80 and 3,396.88 is: 4,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.92 : 6,973.80 = 3,396.88 : x
  2. Step 2: Convert to fraction form
    5,051.92/6,973.80 = 3,396.88/x
  3. Step 3: Cross multiply
    5,051.92x = 6,973.80 × 3,396.88
  4. Step 4: Simplify right side
    5,051.92x = 23,689,161.74
  5. Step 5: Solve for x
    x = 23,689,161.74/5,051.92
  6. Step 6: Final answer
    x = 4,689.14

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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.