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Finding the Fourth Proportional to 5,314.34, 7,970.16 and 2,026.46

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Solution

The fourth proportional to 5,314.34, 7,970.16 and 2,026.46 is: 3,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.34 : 7,970.16 = 2,026.46 : x
  2. Step 2: Convert to fraction form
    5,314.34/7,970.16 = 2,026.46/x
  3. Step 3: Cross multiply
    5,314.34x = 7,970.16 × 2,026.46
  4. Step 4: Simplify right side
    5,314.34x = 16,151,210.43
  5. Step 5: Solve for x
    x = 16,151,210.43/5,314.34
  6. Step 6: Final answer
    x = 3,039.18

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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.