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Finding the Fourth Proportional to 5,312.89, 7,970.52 and 1,755.26

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Solution

The fourth proportional to 5,312.89, 7,970.52 and 1,755.26 is: 2,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.89 : 7,970.52 = 1,755.26 : x
  2. Step 2: Convert to fraction form
    5,312.89/7,970.52 = 1,755.26/x
  3. Step 3: Cross multiply
    5,312.89x = 7,970.52 × 1,755.26
  4. Step 4: Simplify right side
    5,312.89x = 13,990,295.08
  5. Step 5: Solve for x
    x = 13,990,295.08/5,312.89
  6. Step 6: Final answer
    x = 2,633.28

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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.