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Finding the Fourth Proportional to 3,613.90, 5,416.94 and 1,762.92

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Solution

The fourth proportional to 3,613.90, 5,416.94 and 1,762.92 is: 2,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.90 : 5,416.94 = 1,762.92 : x
  2. Step 2: Convert to fraction form
    3,613.90/5,416.94 = 1,762.92/x
  3. Step 3: Cross multiply
    3,613.90x = 5,416.94 × 1,762.92
  4. Step 4: Simplify right side
    3,613.90x = 9,549,631.86
  5. Step 5: Solve for x
    x = 9,549,631.86/3,613.90
  6. Step 6: Final answer
    x = 2,642.47

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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.