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Finding the Fourth Proportional to 4,683.48, 7,024.44 and 1,565.64

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Solution

The fourth proportional to 4,683.48, 7,024.44 and 1,565.64 is: 2,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.48 : 7,024.44 = 1,565.64 : x
  2. Step 2: Convert to fraction form
    4,683.48/7,024.44 = 1,565.64/x
  3. Step 3: Cross multiply
    4,683.48x = 7,024.44 × 1,565.64
  4. Step 4: Simplify right side
    4,683.48x = 10,997,744.24
  5. Step 5: Solve for x
    x = 10,997,744.24/4,683.48
  6. Step 6: Final answer
    x = 2,348.20

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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.