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Finding the Fourth Proportional to 3,219.92, 4,803.62 and 3,130.64

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Solution

The fourth proportional to 3,219.92, 4,803.62 and 3,130.64 is: 4,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.92 : 4,803.62 = 3,130.64 : x
  2. Step 2: Convert to fraction form
    3,219.92/4,803.62 = 3,130.64/x
  3. Step 3: Cross multiply
    3,219.92x = 4,803.62 × 3,130.64
  4. Step 4: Simplify right side
    3,219.92x = 15,038,404.92
  5. Step 5: Solve for x
    x = 15,038,404.92/3,219.92
  6. Step 6: Final answer
    x = 4,670.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.