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Finding the Fourth Proportional to 4,274.34, 6,415.53 and 3,089.57

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Solution

The fourth proportional to 4,274.34, 6,415.53 and 3,089.57 is: 4,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.34 : 6,415.53 = 3,089.57 : x
  2. Step 2: Convert to fraction form
    4,274.34/6,415.53 = 3,089.57/x
  3. Step 3: Cross multiply
    4,274.34x = 6,415.53 × 3,089.57
  4. Step 4: Simplify right side
    4,274.34x = 19,821,196.94
  5. Step 5: Solve for x
    x = 19,821,196.94/4,274.34
  6. Step 6: Final answer
    x = 4,637.25

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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.