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Finding the Fourth Proportional to 3,315.46, 4,972.13 and 3,097.07

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Solution

The fourth proportional to 3,315.46, 4,972.13 and 3,097.07 is: 4,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.46 : 4,972.13 = 3,097.07 : x
  2. Step 2: Convert to fraction form
    3,315.46/4,972.13 = 3,097.07/x
  3. Step 3: Cross multiply
    3,315.46x = 4,972.13 × 3,097.07
  4. Step 4: Simplify right side
    3,315.46x = 15,398,994.31
  5. Step 5: Solve for x
    x = 15,398,994.31/3,315.46
  6. Step 6: Final answer
    x = 4,644.60

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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.