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Finding the Fourth Proportional to 5,206.46, 7,184.88 and 2,848.64

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Solution

The fourth proportional to 5,206.46, 7,184.88 and 2,848.64 is: 3,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.46 : 7,184.88 = 2,848.64 : x
  2. Step 2: Convert to fraction form
    5,206.46/7,184.88 = 2,848.64/x
  3. Step 3: Cross multiply
    5,206.46x = 7,184.88 × 2,848.64
  4. Step 4: Simplify right side
    5,206.46x = 20,467,136.56
  5. Step 5: Solve for x
    x = 20,467,136.56/5,206.46
  6. Step 6: Final answer
    x = 3,931.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.