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Finding the Fourth Proportional to 5,718.89, 7,888.64 and 3,623.01

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Solution

The fourth proportional to 5,718.89, 7,888.64 and 3,623.01 is: 4,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.89 : 7,888.64 = 3,623.01 : x
  2. Step 2: Convert to fraction form
    5,718.89/7,888.64 = 3,623.01/x
  3. Step 3: Cross multiply
    5,718.89x = 7,888.64 × 3,623.01
  4. Step 4: Simplify right side
    5,718.89x = 28,580,603.49
  5. Step 5: Solve for x
    x = 28,580,603.49/5,718.89
  6. Step 6: Final answer
    x = 4,997.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.