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Finding the Fourth Proportional to 5,186.42, 7,776.65 and 3,545.00

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Solution

The fourth proportional to 5,186.42, 7,776.65 and 3,545.00 is: 5,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.42 : 7,776.65 = 3,545.00 : x
  2. Step 2: Convert to fraction form
    5,186.42/7,776.65 = 3,545.00/x
  3. Step 3: Cross multiply
    5,186.42x = 7,776.65 × 3,545.00
  4. Step 4: Simplify right side
    5,186.42x = 27,568,185.37
  5. Step 5: Solve for x
    x = 27,568,185.37/5,186.42
  6. Step 6: Final answer
    x = 5,315.46

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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.