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Finding the Fourth Proportional to 3,725.64, 5,585.70 and 1,779.21

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Solution

The fourth proportional to 3,725.64, 5,585.70 and 1,779.21 is: 2,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.64 : 5,585.70 = 1,779.21 : x
  2. Step 2: Convert to fraction form
    3,725.64/5,585.70 = 1,779.21/x
  3. Step 3: Cross multiply
    3,725.64x = 5,585.70 × 1,779.21
  4. Step 4: Simplify right side
    3,725.64x = 9,938,133.30
  5. Step 5: Solve for x
    x = 9,938,133.30/3,725.64
  6. Step 6: Final answer
    x = 2,667.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.