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Finding the Fourth Proportional to 3,440.02, 5,159.94 and 842.98

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Solution

The fourth proportional to 3,440.02, 5,159.94 and 842.98 is: 1,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.02 : 5,159.94 = 842.98 : x
  2. Step 2: Convert to fraction form
    3,440.02/5,159.94 = 842.98/x
  3. Step 3: Cross multiply
    3,440.02x = 5,159.94 × 842.98
  4. Step 4: Simplify right side
    3,440.02x = 4,349,726.22
  5. Step 5: Solve for x
    x = 4,349,726.22/3,440.02
  6. Step 6: Final answer
    x = 1,264.45

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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.