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Finding the Fourth Proportional to 3,465.42, 4,782.33 and 1,893.52

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Solution

The fourth proportional to 3,465.42, 4,782.33 and 1,893.52 is: 2,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.42 : 4,782.33 = 1,893.52 : x
  2. Step 2: Convert to fraction form
    3,465.42/4,782.33 = 1,893.52/x
  3. Step 3: Cross multiply
    3,465.42x = 4,782.33 × 1,893.52
  4. Step 4: Simplify right side
    3,465.42x = 9,055,404.12
  5. Step 5: Solve for x
    x = 9,055,404.12/3,465.42
  6. Step 6: Final answer
    x = 2,613.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.