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Finding the Fourth Proportional to 3,490.34, 4,816.54 and 2,054.68

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Solution

The fourth proportional to 3,490.34, 4,816.54 and 2,054.68 is: 2,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.34 : 4,816.54 = 2,054.68 : x
  2. Step 2: Convert to fraction form
    3,490.34/4,816.54 = 2,054.68/x
  3. Step 3: Cross multiply
    3,490.34x = 4,816.54 × 2,054.68
  4. Step 4: Simplify right side
    3,490.34x = 9,896,448.41
  5. Step 5: Solve for x
    x = 9,896,448.41/3,490.34
  6. Step 6: Final answer
    x = 2,835.38

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Why These Related Problems?

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