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Finding the Fourth Proportional to 3,465.02, 4,781.76 and 1,972.86

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Solution

The fourth proportional to 3,465.02, 4,781.76 and 1,972.86 is: 2,722.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.02 : 4,781.76 = 1,972.86 : x
  2. Step 2: Convert to fraction form
    3,465.02/4,781.76 = 1,972.86/x
  3. Step 3: Cross multiply
    3,465.02x = 4,781.76 × 1,972.86
  4. Step 4: Simplify right side
    3,465.02x = 9,433,743.03
  5. Step 5: Solve for x
    x = 9,433,743.03/3,465.02
  6. Step 6: Final answer
    x = 2,722.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.