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Finding the Fourth Proportional to 5,484.36, 8,216.94 and 4,565.82

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Solution

The fourth proportional to 5,484.36, 8,216.94 and 4,565.82 is: 6,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.36 : 8,216.94 = 4,565.82 : x
  2. Step 2: Convert to fraction form
    5,484.36/8,216.94 = 4,565.82/x
  3. Step 3: Cross multiply
    5,484.36x = 8,216.94 × 4,565.82
  4. Step 4: Simplify right side
    5,484.36x = 37,517,068.99
  5. Step 5: Solve for x
    x = 37,517,068.99/5,484.36
  6. Step 6: Final answer
    x = 6,840.74

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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.