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Finding the Fourth Proportional to 3,655.08, 5,482.26 and 1,191.69

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Solution

The fourth proportional to 3,655.08, 5,482.26 and 1,191.69 is: 1,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.08 : 5,482.26 = 1,191.69 : x
  2. Step 2: Convert to fraction form
    3,655.08/5,482.26 = 1,191.69/x
  3. Step 3: Cross multiply
    3,655.08x = 5,482.26 × 1,191.69
  4. Step 4: Simplify right side
    3,655.08x = 6,533,154.42
  5. Step 5: Solve for x
    x = 6,533,154.42/3,655.08
  6. Step 6: Final answer
    x = 1,787.42

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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.