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Finding the Fourth Proportional to 5,312.66, 7,329.46 and 3,295.14

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Solution

The fourth proportional to 5,312.66, 7,329.46 and 3,295.14 is: 4,546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.66 : 7,329.46 = 3,295.14 : x
  2. Step 2: Convert to fraction form
    5,312.66/7,329.46 = 3,295.14/x
  3. Step 3: Cross multiply
    5,312.66x = 7,329.46 × 3,295.14
  4. Step 4: Simplify right side
    5,312.66x = 24,151,596.82
  5. Step 5: Solve for x
    x = 24,151,596.82/5,312.66
  6. Step 6: Final answer
    x = 4,546.05

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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.