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Finding the Fourth Proportional to 4,194, 5,798.52 and 4,010.40

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Solution

The fourth proportional to 4,194, 5,798.52 and 4,010.40 is: 5,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 5,798.52 = 4,010.40 : x
  2. Step 2: Convert to fraction form
    4,194/5,798.52 = 4,010.40/x
  3. Step 3: Cross multiply
    4,194x = 5,798.52 × 4,010.40
  4. Step 4: Simplify right side
    4,194x = 23,254,384.61
  5. Step 5: Solve for x
    x = 23,254,384.61/4,194
  6. Step 6: Final answer
    x = 5,544.68

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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.