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Finding the Fourth Proportional to 3,725.08, 5,585.48 and 1,532

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Solution

The fourth proportional to 3,725.08, 5,585.48 and 1,532 is: 2,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.08 : 5,585.48 = 1,532 : x
  2. Step 2: Convert to fraction form
    3,725.08/5,585.48 = 1,532/x
  3. Step 3: Cross multiply
    3,725.08x = 5,585.48 × 1,532
  4. Step 4: Simplify right side
    3,725.08x = 8,556,955.36
  5. Step 5: Solve for x
    x = 8,556,955.36/3,725.08
  6. Step 6: Final answer
    x = 2,297.12

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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.