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Finding the Fourth Proportional to 4,523.51, 6,782.64 and 1,402.68

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Solution

The fourth proportional to 4,523.51, 6,782.64 and 1,402.68 is: 2,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.51 : 6,782.64 = 1,402.68 : x
  2. Step 2: Convert to fraction form
    4,523.51/6,782.64 = 1,402.68/x
  3. Step 3: Cross multiply
    4,523.51x = 6,782.64 × 1,402.68
  4. Step 4: Simplify right side
    4,523.51x = 9,513,873.48
  5. Step 5: Solve for x
    x = 9,513,873.48/4,523.51
  6. Step 6: Final answer
    x = 2,103.21

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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.