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Finding the Fourth Proportional to 4,830.50, 7,246.02 and 1,368.02

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Solution

The fourth proportional to 4,830.50, 7,246.02 and 1,368.02 is: 2,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.50 : 7,246.02 = 1,368.02 : x
  2. Step 2: Convert to fraction form
    4,830.50/7,246.02 = 1,368.02/x
  3. Step 3: Cross multiply
    4,830.50x = 7,246.02 × 1,368.02
  4. Step 4: Simplify right side
    4,830.50x = 9,912,700.28
  5. Step 5: Solve for x
    x = 9,912,700.28/4,830.50
  6. Step 6: Final answer
    x = 2,052.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.