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Finding the Fourth Proportional to 3,235.56, 4,852.44 and 895.02

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Solution

The fourth proportional to 3,235.56, 4,852.44 and 895.02 is: 1,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.56 : 4,852.44 = 895.02 : x
  2. Step 2: Convert to fraction form
    3,235.56/4,852.44 = 895.02/x
  3. Step 3: Cross multiply
    3,235.56x = 4,852.44 × 895.02
  4. Step 4: Simplify right side
    3,235.56x = 4,343,030.85
  5. Step 5: Solve for x
    x = 4,343,030.85/3,235.56
  6. Step 6: Final answer
    x = 1,342.28

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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.