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Finding the Fourth Proportional to 5,484.65, 7,564.04 and 3,888.14

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Solution

The fourth proportional to 5,484.65, 7,564.04 and 3,888.14 is: 5,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.65 : 7,564.04 = 3,888.14 : x
  2. Step 2: Convert to fraction form
    5,484.65/7,564.04 = 3,888.14/x
  3. Step 3: Cross multiply
    5,484.65x = 7,564.04 × 3,888.14
  4. Step 4: Simplify right side
    5,484.65x = 29,410,046.49
  5. Step 5: Solve for x
    x = 29,410,046.49/5,484.65
  6. Step 6: Final answer
    x = 5,362.25

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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.