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Finding the Fourth Proportional to 5,088.54, 7,633.52 and 1,578.84

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Solution

The fourth proportional to 5,088.54, 7,633.52 and 1,578.84 is: 2,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.54 : 7,633.52 = 1,578.84 : x
  2. Step 2: Convert to fraction form
    5,088.54/7,633.52 = 1,578.84/x
  3. Step 3: Cross multiply
    5,088.54x = 7,633.52 × 1,578.84
  4. Step 4: Simplify right side
    5,088.54x = 12,052,106.72
  5. Step 5: Solve for x
    x = 12,052,106.72/5,088.54
  6. Step 6: Final answer
    x = 2,368.48

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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.