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Finding the Fourth Proportional to 4,225.40, 6,340.07 and 1,885.16

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Solution

The fourth proportional to 4,225.40, 6,340.07 and 1,885.16 is: 2,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.40 : 6,340.07 = 1,885.16 : x
  2. Step 2: Convert to fraction form
    4,225.40/6,340.07 = 1,885.16/x
  3. Step 3: Cross multiply
    4,225.40x = 6,340.07 × 1,885.16
  4. Step 4: Simplify right side
    4,225.40x = 11,952,031.26
  5. Step 5: Solve for x
    x = 11,952,031.26/4,225.40
  6. Step 6: Final answer
    x = 2,828.62

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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.