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Finding the Fourth Proportional to 4,609.34, 6,915.21 and 2,417.48

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Solution

The fourth proportional to 4,609.34, 6,915.21 and 2,417.48 is: 3,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.34 : 6,915.21 = 2,417.48 : x
  2. Step 2: Convert to fraction form
    4,609.34/6,915.21 = 2,417.48/x
  3. Step 3: Cross multiply
    4,609.34x = 6,915.21 × 2,417.48
  4. Step 4: Simplify right side
    4,609.34x = 16,717,347.29
  5. Step 5: Solve for x
    x = 16,717,347.29/4,609.34
  6. Step 6: Final answer
    x = 3,626.85

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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.