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Finding the Fourth Proportional to 4,564.96, 6,847.44 and 1,102.21

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Solution

The fourth proportional to 4,564.96, 6,847.44 and 1,102.21 is: 1,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.96 : 6,847.44 = 1,102.21 : x
  2. Step 2: Convert to fraction form
    4,564.96/6,847.44 = 1,102.21/x
  3. Step 3: Cross multiply
    4,564.96x = 6,847.44 × 1,102.21
  4. Step 4: Simplify right side
    4,564.96x = 7,547,303.86
  5. Step 5: Solve for x
    x = 7,547,303.86/4,564.96
  6. Step 6: Final answer
    x = 1,653.31

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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.