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Finding the Fourth Proportional to 6,435.48, 9,653.10 and 2,052.90

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Solution

The fourth proportional to 6,435.48, 9,653.10 and 2,052.90 is: 3,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.48 : 9,653.10 = 2,052.90 : x
  2. Step 2: Convert to fraction form
    6,435.48/9,653.10 = 2,052.90/x
  3. Step 3: Cross multiply
    6,435.48x = 9,653.10 × 2,052.90
  4. Step 4: Simplify right side
    6,435.48x = 19,816,848.99
  5. Step 5: Solve for x
    x = 19,816,848.99/6,435.48
  6. Step 6: Final answer
    x = 3,079.31

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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.