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Finding the Fourth Proportional to 3,006.40, 4,509.90 and 2,356

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Solution

The fourth proportional to 3,006.40, 4,509.90 and 2,356 is: 3,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.40 : 4,509.90 = 2,356 : x
  2. Step 2: Convert to fraction form
    3,006.40/4,509.90 = 2,356/x
  3. Step 3: Cross multiply
    3,006.40x = 4,509.90 × 2,356
  4. Step 4: Simplify right side
    3,006.40x = 10,625,324.40
  5. Step 5: Solve for x
    x = 10,625,324.40/3,006.40
  6. Step 6: Final answer
    x = 3,534.24

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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.