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Finding the Fourth Proportional to 3,448.49, 4,746.90 and 3,005.63

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Solution

The fourth proportional to 3,448.49, 4,746.90 and 3,005.63 is: 4,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.49 : 4,746.90 = 3,005.63 : x
  2. Step 2: Convert to fraction form
    3,448.49/4,746.90 = 3,005.63/x
  3. Step 3: Cross multiply
    3,448.49x = 4,746.90 × 3,005.63
  4. Step 4: Simplify right side
    3,448.49x = 14,267,401.31
  5. Step 5: Solve for x
    x = 14,267,401.31/3,448.49
  6. Step 6: Final answer
    x = 4,137.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.