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Finding the Fourth Proportional to 4,647.40, 6,968.86 and 2,700.16

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Solution

The fourth proportional to 4,647.40, 6,968.86 and 2,700.16 is: 4,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.40 : 6,968.86 = 2,700.16 : x
  2. Step 2: Convert to fraction form
    4,647.40/6,968.86 = 2,700.16/x
  3. Step 3: Cross multiply
    4,647.40x = 6,968.86 × 2,700.16
  4. Step 4: Simplify right side
    4,647.40x = 18,817,037.02
  5. Step 5: Solve for x
    x = 18,817,037.02/4,647.40
  6. Step 6: Final answer
    x = 4,048.94

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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.