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Finding the Fourth Proportional to 5,973.84, 8,242.56 and 3,615.93

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Solution

The fourth proportional to 5,973.84, 8,242.56 and 3,615.93 is: 4,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.84 : 8,242.56 = 3,615.93 : x
  2. Step 2: Convert to fraction form
    5,973.84/8,242.56 = 3,615.93/x
  3. Step 3: Cross multiply
    5,973.84x = 8,242.56 × 3,615.93
  4. Step 4: Simplify right side
    5,973.84x = 29,804,519.98
  5. Step 5: Solve for x
    x = 29,804,519.98/5,973.84
  6. Step 6: Final answer
    x = 4,989.17

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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.