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Finding the Fourth Proportional to 5,312.74, 7,970.10 and 2,194.51

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Solution

The fourth proportional to 5,312.74, 7,970.10 and 2,194.51 is: 3,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.74 : 7,970.10 = 2,194.51 : x
  2. Step 2: Convert to fraction form
    5,312.74/7,970.10 = 2,194.51/x
  3. Step 3: Cross multiply
    5,312.74x = 7,970.10 × 2,194.51
  4. Step 4: Simplify right side
    5,312.74x = 17,490,464.15
  5. Step 5: Solve for x
    x = 17,490,464.15/5,312.74
  6. Step 6: Final answer
    x = 3,292.17

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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.