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Finding the Fourth Proportional to 5,235.09, 7,852.87 and 1,677.57

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Solution

The fourth proportional to 5,235.09, 7,852.87 and 1,677.57 is: 2,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.09 : 7,852.87 = 1,677.57 : x
  2. Step 2: Convert to fraction form
    5,235.09/7,852.87 = 1,677.57/x
  3. Step 3: Cross multiply
    5,235.09x = 7,852.87 × 1,677.57
  4. Step 4: Simplify right side
    5,235.09x = 13,173,702.34
  5. Step 5: Solve for x
    x = 13,173,702.34/5,235.09
  6. Step 6: Final answer
    x = 2,516.43

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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.