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Finding the Fourth Proportional to 3,891.40, 5,370.13 and 2,123.00

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Solution

The fourth proportional to 3,891.40, 5,370.13 and 2,123.00 is: 2,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.40 : 5,370.13 = 2,123.00 : x
  2. Step 2: Convert to fraction form
    3,891.40/5,370.13 = 2,123.00/x
  3. Step 3: Cross multiply
    3,891.40x = 5,370.13 × 2,123.00
  4. Step 4: Simplify right side
    3,891.40x = 11,400,802.07
  5. Step 5: Solve for x
    x = 11,400,802.07/3,891.40
  6. Step 6: Final answer
    x = 2,929.74

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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.