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Finding the Fourth Proportional to 4,425.84, 6,638.76 and 1,506.06

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Solution

The fourth proportional to 4,425.84, 6,638.76 and 1,506.06 is: 2,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.84 : 6,638.76 = 1,506.06 : x
  2. Step 2: Convert to fraction form
    4,425.84/6,638.76 = 1,506.06/x
  3. Step 3: Cross multiply
    4,425.84x = 6,638.76 × 1,506.06
  4. Step 4: Simplify right side
    4,425.84x = 9,998,370.89
  5. Step 5: Solve for x
    x = 9,998,370.89/4,425.84
  6. Step 6: Final answer
    x = 2,259.09

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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.