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Finding the Fourth Proportional to 3,655.70, 5,482.52 and 1,190.18

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Solution

The fourth proportional to 3,655.70, 5,482.52 and 1,190.18 is: 1,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.70 : 5,482.52 = 1,190.18 : x
  2. Step 2: Convert to fraction form
    3,655.70/5,482.52 = 1,190.18/x
  3. Step 3: Cross multiply
    3,655.70x = 5,482.52 × 1,190.18
  4. Step 4: Simplify right side
    3,655.70x = 6,525,185.65
  5. Step 5: Solve for x
    x = 6,525,185.65/3,655.70
  6. Step 6: Final answer
    x = 1,784.93

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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.