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Finding the Fourth Proportional to 3,410.40, 4,699.92 and 2,988

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Solution

The fourth proportional to 3,410.40, 4,699.92 and 2,988 is: 4,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.40 : 4,699.92 = 2,988 : x
  2. Step 2: Convert to fraction form
    3,410.40/4,699.92 = 2,988/x
  3. Step 3: Cross multiply
    3,410.40x = 4,699.92 × 2,988
  4. Step 4: Simplify right side
    3,410.40x = 14,043,360.96
  5. Step 5: Solve for x
    x = 14,043,360.96/3,410.40
  6. Step 6: Final answer
    x = 4,117.80

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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.