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Finding the Fourth Proportional to 4,676.48, 7,014.04 and 1,388.96

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Solution

The fourth proportional to 4,676.48, 7,014.04 and 1,388.96 is: 2,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.48 : 7,014.04 = 1,388.96 : x
  2. Step 2: Convert to fraction form
    4,676.48/7,014.04 = 1,388.96/x
  3. Step 3: Cross multiply
    4,676.48x = 7,014.04 × 1,388.96
  4. Step 4: Simplify right side
    4,676.48x = 9,742,221.00
  5. Step 5: Solve for x
    x = 9,742,221.00/4,676.48
  6. Step 6: Final answer
    x = 2,083.24

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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.