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Finding the Fourth Proportional to 4,536.90, 6,805.59 and 1,417.33

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Solution

The fourth proportional to 4,536.90, 6,805.59 and 1,417.33 is: 2,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.90 : 6,805.59 = 1,417.33 : x
  2. Step 2: Convert to fraction form
    4,536.90/6,805.59 = 1,417.33/x
  3. Step 3: Cross multiply
    4,536.90x = 6,805.59 × 1,417.33
  4. Step 4: Simplify right side
    4,536.90x = 9,645,766.87
  5. Step 5: Solve for x
    x = 9,645,766.87/4,536.90
  6. Step 6: Final answer
    x = 2,126.07

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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.