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Finding the Fourth Proportional to 4,746.36, 7,114.12 and 2,968.24

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Solution

The fourth proportional to 4,746.36, 7,114.12 and 2,968.24 is: 4,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.36 : 7,114.12 = 2,968.24 : x
  2. Step 2: Convert to fraction form
    4,746.36/7,114.12 = 2,968.24/x
  3. Step 3: Cross multiply
    4,746.36x = 7,114.12 × 2,968.24
  4. Step 4: Simplify right side
    4,746.36x = 21,116,415.55
  5. Step 5: Solve for x
    x = 21,116,415.55/4,746.36
  6. Step 6: Final answer
    x = 4,448.97

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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.