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Finding the Fourth Proportional to 4,017.40, 6,026.10 and 2,289.40

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Solution

The fourth proportional to 4,017.40, 6,026.10 and 2,289.40 is: 3,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.40 : 6,026.10 = 2,289.40 : x
  2. Step 2: Convert to fraction form
    4,017.40/6,026.10 = 2,289.40/x
  3. Step 3: Cross multiply
    4,017.40x = 6,026.10 × 2,289.40
  4. Step 4: Simplify right side
    4,017.40x = 13,796,153.34
  5. Step 5: Solve for x
    x = 13,796,153.34/4,017.40
  6. Step 6: Final answer
    x = 3,434.10

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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.