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Finding the Fourth Proportional to 5,051.42, 7,578.14 and 1,763.63

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Solution

The fourth proportional to 5,051.42, 7,578.14 and 1,763.63 is: 2,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.42 : 7,578.14 = 1,763.63 : x
  2. Step 2: Convert to fraction form
    5,051.42/7,578.14 = 1,763.63/x
  3. Step 3: Cross multiply
    5,051.42x = 7,578.14 × 1,763.63
  4. Step 4: Simplify right side
    5,051.42x = 13,364,988.34
  5. Step 5: Solve for x
    x = 13,364,988.34/5,051.42
  6. Step 6: Final answer
    x = 2,645.79

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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.