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Finding the Fourth Proportional to 5,681.44, 7,838.68 and 3,557.32

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Solution

The fourth proportional to 5,681.44, 7,838.68 and 3,557.32 is: 4,908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.44 : 7,838.68 = 3,557.32 : x
  2. Step 2: Convert to fraction form
    5,681.44/7,838.68 = 3,557.32/x
  3. Step 3: Cross multiply
    5,681.44x = 7,838.68 × 3,557.32
  4. Step 4: Simplify right side
    5,681.44x = 27,884,693.14
  5. Step 5: Solve for x
    x = 27,884,693.14/5,681.44
  6. Step 6: Final answer
    x = 4,908.03

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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.