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Finding the Fourth Proportional to 4,030.40, 6,047.40 and 1,949.60

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Solution

The fourth proportional to 4,030.40, 6,047.40 and 1,949.60 is: 2,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.40 : 6,047.40 = 1,949.60 : x
  2. Step 2: Convert to fraction form
    4,030.40/6,047.40 = 1,949.60/x
  3. Step 3: Cross multiply
    4,030.40x = 6,047.40 × 1,949.60
  4. Step 4: Simplify right side
    4,030.40x = 11,790,011.04
  5. Step 5: Solve for x
    x = 11,790,011.04/4,030.40
  6. Step 6: Final answer
    x = 2,925.27

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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.