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Finding the Fourth Proportional to 5,295.67, 7,312.16 and 3,617.15

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Solution

The fourth proportional to 5,295.67, 7,312.16 and 3,617.15 is: 4,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.67 : 7,312.16 = 3,617.15 : x
  2. Step 2: Convert to fraction form
    5,295.67/7,312.16 = 3,617.15/x
  3. Step 3: Cross multiply
    5,295.67x = 7,312.16 × 3,617.15
  4. Step 4: Simplify right side
    5,295.67x = 26,449,152.03
  5. Step 5: Solve for x
    x = 26,449,152.03/5,295.67
  6. Step 6: Final answer
    x = 4,994.49

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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.