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Finding the Fourth Proportional to 5,967.84, 8,948.16 and 2,848.80

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Solution

The fourth proportional to 5,967.84, 8,948.16 and 2,848.80 is: 4,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.84 : 8,948.16 = 2,848.80 : x
  2. Step 2: Convert to fraction form
    5,967.84/8,948.16 = 2,848.80/x
  3. Step 3: Cross multiply
    5,967.84x = 8,948.16 × 2,848.80
  4. Step 4: Simplify right side
    5,967.84x = 25,491,518.21
  5. Step 5: Solve for x
    x = 25,491,518.21/5,967.84
  6. Step 6: Final answer
    x = 4,271.48

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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.