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Finding the Fourth Proportional to 5,681.58, 7,837.80 and 4,894.26

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Solution

The fourth proportional to 5,681.58, 7,837.80 and 4,894.26 is: 6,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.58 : 7,837.80 = 4,894.26 : x
  2. Step 2: Convert to fraction form
    5,681.58/7,837.80 = 4,894.26/x
  3. Step 3: Cross multiply
    5,681.58x = 7,837.80 × 4,894.26
  4. Step 4: Simplify right side
    5,681.58x = 38,360,231.03
  5. Step 5: Solve for x
    x = 38,360,231.03/5,681.58
  6. Step 6: Final answer
    x = 6,751.68

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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.