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Finding the Fourth Proportional to 3,637.34, 5,455.28 and 3,024.98

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Solution

The fourth proportional to 3,637.34, 5,455.28 and 3,024.98 is: 4,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.34 : 5,455.28 = 3,024.98 : x
  2. Step 2: Convert to fraction form
    3,637.34/5,455.28 = 3,024.98/x
  3. Step 3: Cross multiply
    3,637.34x = 5,455.28 × 3,024.98
  4. Step 4: Simplify right side
    3,637.34x = 16,502,112.89
  5. Step 5: Solve for x
    x = 16,502,112.89/3,637.34
  6. Step 6: Final answer
    x = 4,536.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.