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Finding the Fourth Proportional to 5,490.25, 8,235.38 and 1,594.77

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Solution

The fourth proportional to 5,490.25, 8,235.38 and 1,594.77 is: 2,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.25 : 8,235.38 = 1,594.77 : x
  2. Step 2: Convert to fraction form
    5,490.25/8,235.38 = 1,594.77/x
  3. Step 3: Cross multiply
    5,490.25x = 8,235.38 × 1,594.77
  4. Step 4: Simplify right side
    5,490.25x = 13,133,536.96
  5. Step 5: Solve for x
    x = 13,133,536.96/5,490.25
  6. Step 6: Final answer
    x = 2,392.16

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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.