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Finding the Fourth Proportional to 4,973.93, 7,460.52 and 3,589.76

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Solution

The fourth proportional to 4,973.93, 7,460.52 and 3,589.76 is: 5,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.93 : 7,460.52 = 3,589.76 : x
  2. Step 2: Convert to fraction form
    4,973.93/7,460.52 = 3,589.76/x
  3. Step 3: Cross multiply
    4,973.93x = 7,460.52 × 3,589.76
  4. Step 4: Simplify right side
    4,973.93x = 26,781,476.28
  5. Step 5: Solve for x
    x = 26,781,476.28/4,973.93
  6. Step 6: Final answer
    x = 5,384.37

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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.