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Finding the Fourth Proportional to 3,140.08, 4,710.80 and 949.03

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Solution

The fourth proportional to 3,140.08, 4,710.80 and 949.03 is: 1,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.08 : 4,710.80 = 949.03 : x
  2. Step 2: Convert to fraction form
    3,140.08/4,710.80 = 949.03/x
  3. Step 3: Cross multiply
    3,140.08x = 4,710.80 × 949.03
  4. Step 4: Simplify right side
    3,140.08x = 4,470,690.52
  5. Step 5: Solve for x
    x = 4,470,690.52/3,140.08
  6. Step 6: Final answer
    x = 1,423.75

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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.