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Finding the Fourth Proportional to 4,967.60, 7,448.70 and 2,046.20

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Solution

The fourth proportional to 4,967.60, 7,448.70 and 2,046.20 is: 3,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.60 : 7,448.70 = 2,046.20 : x
  2. Step 2: Convert to fraction form
    4,967.60/7,448.70 = 2,046.20/x
  3. Step 3: Cross multiply
    4,967.60x = 7,448.70 × 2,046.20
  4. Step 4: Simplify right side
    4,967.60x = 15,241,529.94
  5. Step 5: Solve for x
    x = 15,241,529.94/4,967.60
  6. Step 6: Final answer
    x = 3,068.19

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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.