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Finding the Fourth Proportional to 5,664.51, 7,820.79 and 3,543.24

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Solution

The fourth proportional to 5,664.51, 7,820.79 and 3,543.24 is: 4,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.51 : 7,820.79 = 3,543.24 : x
  2. Step 2: Convert to fraction form
    5,664.51/7,820.79 = 3,543.24/x
  3. Step 3: Cross multiply
    5,664.51x = 7,820.79 × 3,543.24
  4. Step 4: Simplify right side
    5,664.51x = 27,710,935.96
  5. Step 5: Solve for x
    x = 27,710,935.96/5,664.51
  6. Step 6: Final answer
    x = 4,892.03

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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.