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Finding the Fourth Proportional to 5,678.16, 8,516.64 and 1,782.60

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Solution

The fourth proportional to 5,678.16, 8,516.64 and 1,782.60 is: 2,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.16 : 8,516.64 = 1,782.60 : x
  2. Step 2: Convert to fraction form
    5,678.16/8,516.64 = 1,782.60/x
  3. Step 3: Cross multiply
    5,678.16x = 8,516.64 × 1,782.60
  4. Step 4: Simplify right side
    5,678.16x = 15,181,762.46
  5. Step 5: Solve for x
    x = 15,181,762.46/5,678.16
  6. Step 6: Final answer
    x = 2,673.71

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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.