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Finding the Fourth Proportional to 4,824.65, 7,238.23 and 1,537.79

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Solution

The fourth proportional to 4,824.65, 7,238.23 and 1,537.79 is: 2,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.65 : 7,238.23 = 1,537.79 : x
  2. Step 2: Convert to fraction form
    4,824.65/7,238.23 = 1,537.79/x
  3. Step 3: Cross multiply
    4,824.65x = 7,238.23 × 1,537.79
  4. Step 4: Simplify right side
    4,824.65x = 11,130,837.68
  5. Step 5: Solve for x
    x = 11,130,837.68/4,824.65
  6. Step 6: Final answer
    x = 2,307.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.