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Finding the Fourth Proportional to 5,383.72, 8,075.64 and 1,685.80

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Solution

The fourth proportional to 5,383.72, 8,075.64 and 1,685.80 is: 2,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.72 : 8,075.64 = 1,685.80 : x
  2. Step 2: Convert to fraction form
    5,383.72/8,075.64 = 1,685.80/x
  3. Step 3: Cross multiply
    5,383.72x = 8,075.64 × 1,685.80
  4. Step 4: Simplify right side
    5,383.72x = 13,613,913.91
  5. Step 5: Solve for x
    x = 13,613,913.91/5,383.72
  6. Step 6: Final answer
    x = 2,528.72

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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.