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Finding the Fourth Proportional to 5,733.64, 8,595.06 and 3,133

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Solution

The fourth proportional to 5,733.64, 8,595.06 and 3,133 is: 4,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.64 : 8,595.06 = 3,133 : x
  2. Step 2: Convert to fraction form
    5,733.64/8,595.06 = 3,133/x
  3. Step 3: Cross multiply
    5,733.64x = 8,595.06 × 3,133
  4. Step 4: Simplify right side
    5,733.64x = 26,928,322.98
  5. Step 5: Solve for x
    x = 26,928,322.98/5,733.64
  6. Step 6: Final answer
    x = 4,696.55

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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.