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Finding the Fourth Proportional to 5,613.53, 8,421.53 and 1,665.10

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Solution

The fourth proportional to 5,613.53, 8,421.53 and 1,665.10 is: 2,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.53 : 8,421.53 = 1,665.10 : x
  2. Step 2: Convert to fraction form
    5,613.53/8,421.53 = 1,665.10/x
  3. Step 3: Cross multiply
    5,613.53x = 8,421.53 × 1,665.10
  4. Step 4: Simplify right side
    5,613.53x = 14,022,667.98
  5. Step 5: Solve for x
    x = 14,022,667.98/5,613.53
  6. Step 6: Final answer
    x = 2,498.01

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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.