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Finding the Fourth Proportional to 5,537.04, 8,307 and 1,641.36

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Solution

The fourth proportional to 5,537.04, 8,307 and 1,641.36 is: 2,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.04 : 8,307 = 1,641.36 : x
  2. Step 2: Convert to fraction form
    5,537.04/8,307 = 1,641.36/x
  3. Step 3: Cross multiply
    5,537.04x = 8,307 × 1,641.36
  4. Step 4: Simplify right side
    5,537.04x = 13,634,777.52
  5. Step 5: Solve for x
    x = 13,634,777.52/5,537.04
  6. Step 6: Final answer
    x = 2,462.47

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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.