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Finding the Fourth Proportional to 5,641.04, 8,462.38 and 1,745.76

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Solution

The fourth proportional to 5,641.04, 8,462.38 and 1,745.76 is: 2,618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.04 : 8,462.38 = 1,745.76 : x
  2. Step 2: Convert to fraction form
    5,641.04/8,462.38 = 1,745.76/x
  3. Step 3: Cross multiply
    5,641.04x = 8,462.38 × 1,745.76
  4. Step 4: Simplify right side
    5,641.04x = 14,773,284.51
  5. Step 5: Solve for x
    x = 14,773,284.51/5,641.04
  6. Step 6: Final answer
    x = 2,618.89

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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.