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Finding the Fourth Proportional to 4,564.40, 6,846.60 and 3,412.40

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Solution

The fourth proportional to 4,564.40, 6,846.60 and 3,412.40 is: 5,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.40 : 6,846.60 = 3,412.40 : x
  2. Step 2: Convert to fraction form
    4,564.40/6,846.60 = 3,412.40/x
  3. Step 3: Cross multiply
    4,564.40x = 6,846.60 × 3,412.40
  4. Step 4: Simplify right side
    4,564.40x = 23,363,337.84
  5. Step 5: Solve for x
    x = 23,363,337.84/4,564.40
  6. Step 6: Final answer
    x = 5,118.60

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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.