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Finding the Fourth Proportional to 5,597.96, 7,726.43 and 4,384.23

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Solution

The fourth proportional to 5,597.96, 7,726.43 and 4,384.23 is: 6,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.96 : 7,726.43 = 4,384.23 : x
  2. Step 2: Convert to fraction form
    5,597.96/7,726.43 = 4,384.23/x
  3. Step 3: Cross multiply
    5,597.96x = 7,726.43 × 4,384.23
  4. Step 4: Simplify right side
    5,597.96x = 33,874,457.16
  5. Step 5: Solve for x
    x = 33,874,457.16/5,597.96
  6. Step 6: Final answer
    x = 6,051.22

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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.