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Finding the Fourth Proportional to 5,642.58, 7,781.66 and 3,651.06

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Solution

The fourth proportional to 5,642.58, 7,781.66 and 3,651.06 is: 5,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.58 : 7,781.66 = 3,651.06 : x
  2. Step 2: Convert to fraction form
    5,642.58/7,781.66 = 3,651.06/x
  3. Step 3: Cross multiply
    5,642.58x = 7,781.66 × 3,651.06
  4. Step 4: Simplify right side
    5,642.58x = 28,411,307.56
  5. Step 5: Solve for x
    x = 28,411,307.56/5,642.58
  6. Step 6: Final answer
    x = 5,035.16

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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.