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Finding the Fourth Proportional to 7,557.82, 11,320.28 and 3,654

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Solution

The fourth proportional to 7,557.82, 11,320.28 and 3,654 is: 5,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.82 : 11,320.28 = 3,654 : x
  2. Step 2: Convert to fraction form
    7,557.82/11,320.28 = 3,654/x
  3. Step 3: Cross multiply
    7,557.82x = 11,320.28 × 3,654
  4. Step 4: Simplify right side
    7,557.82x = 41,364,303.12
  5. Step 5: Solve for x
    x = 41,364,303.12/7,557.82
  6. Step 6: Final answer
    x = 5,473.05

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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.