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Finding the Fourth Proportional to 5,642.14, 7,783.56 and 3,653.35

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Solution

The fourth proportional to 5,642.14, 7,783.56 and 3,653.35 is: 5,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.14 : 7,783.56 = 3,653.35 : x
  2. Step 2: Convert to fraction form
    5,642.14/7,783.56 = 3,653.35/x
  3. Step 3: Cross multiply
    5,642.14x = 7,783.56 × 3,653.35
  4. Step 4: Simplify right side
    5,642.14x = 28,436,068.93
  5. Step 5: Solve for x
    x = 28,436,068.93/5,642.14
  6. Step 6: Final answer
    x = 5,039.94

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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.