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Finding the Fourth Proportional to 4,653.34, 6,973.17 and 3,477.82

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Solution

The fourth proportional to 4,653.34, 6,973.17 and 3,477.82 is: 5,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.34 : 6,973.17 = 3,477.82 : x
  2. Step 2: Convert to fraction form
    4,653.34/6,973.17 = 3,477.82/x
  3. Step 3: Cross multiply
    4,653.34x = 6,973.17 × 3,477.82
  4. Step 4: Simplify right side
    4,653.34x = 24,251,430.09
  5. Step 5: Solve for x
    x = 24,251,430.09/4,653.34
  6. Step 6: Final answer
    x = 5,211.62

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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.