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Finding the Fourth Proportional to 4,671.16, 6,448.80 and 3,410.96

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Solution

The fourth proportional to 4,671.16, 6,448.80 and 3,410.96 is: 4,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.16 : 6,448.80 = 3,410.96 : x
  2. Step 2: Convert to fraction form
    4,671.16/6,448.80 = 3,410.96/x
  3. Step 3: Cross multiply
    4,671.16x = 6,448.80 × 3,410.96
  4. Step 4: Simplify right side
    4,671.16x = 21,996,598.85
  5. Step 5: Solve for x
    x = 21,996,598.85/4,671.16
  6. Step 6: Final answer
    x = 4,709.02

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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.