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Finding the Fourth Proportional to 5,643.95, 7,790.81 and 5,494.91

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Solution

The fourth proportional to 5,643.95, 7,790.81 and 5,494.91 is: 7,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.95 : 7,790.81 = 5,494.91 : x
  2. Step 2: Convert to fraction form
    5,643.95/7,790.81 = 5,494.91/x
  3. Step 3: Cross multiply
    5,643.95x = 7,790.81 × 5,494.91
  4. Step 4: Simplify right side
    5,643.95x = 42,809,733.35
  5. Step 5: Solve for x
    x = 42,809,733.35/5,643.95
  6. Step 6: Final answer
    x = 7,585.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.