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Finding the Fourth Proportional to 7,732, 11,597.37 and 3,051.82

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Solution

The fourth proportional to 7,732, 11,597.37 and 3,051.82 is: 4,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732 : 11,597.37 = 3,051.82 : x
  2. Step 2: Convert to fraction form
    7,732/11,597.37 = 3,051.82/x
  3. Step 3: Cross multiply
    7,732x = 11,597.37 × 3,051.82
  4. Step 4: Simplify right side
    7,732x = 35,393,085.71
  5. Step 5: Solve for x
    x = 35,393,085.71/7,732
  6. Step 6: Final answer
    x = 4,577.48

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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.