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Finding the Fourth Proportional to 5,645.82, 8,468.41 and 1,541.50

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Solution

The fourth proportional to 5,645.82, 8,468.41 and 1,541.50 is: 2,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.82 : 8,468.41 = 1,541.50 : x
  2. Step 2: Convert to fraction form
    5,645.82/8,468.41 = 1,541.50/x
  3. Step 3: Cross multiply
    5,645.82x = 8,468.41 × 1,541.50
  4. Step 4: Simplify right side
    5,645.82x = 13,054,054.02
  5. Step 5: Solve for x
    x = 13,054,054.02/5,645.82
  6. Step 6: Final answer
    x = 2,312.16

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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.