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Finding the Fourth Proportional to 5,188.38, 7,782.63 and 1,725.63

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Solution

The fourth proportional to 5,188.38, 7,782.63 and 1,725.63 is: 2,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.38 : 7,782.63 = 1,725.63 : x
  2. Step 2: Convert to fraction form
    5,188.38/7,782.63 = 1,725.63/x
  3. Step 3: Cross multiply
    5,188.38x = 7,782.63 × 1,725.63
  4. Step 4: Simplify right side
    5,188.38x = 13,429,939.81
  5. Step 5: Solve for x
    x = 13,429,939.81/5,188.38
  6. Step 6: Final answer
    x = 2,588.46

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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.