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Finding the Fourth Proportional to 5,263.16, 7,894.68 and 1,314.39

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Solution

The fourth proportional to 5,263.16, 7,894.68 and 1,314.39 is: 1,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.16 : 7,894.68 = 1,314.39 : x
  2. Step 2: Convert to fraction form
    5,263.16/7,894.68 = 1,314.39/x
  3. Step 3: Cross multiply
    5,263.16x = 7,894.68 × 1,314.39
  4. Step 4: Simplify right side
    5,263.16x = 10,376,688.45
  5. Step 5: Solve for x
    x = 10,376,688.45/5,263.16
  6. Step 6: Final answer
    x = 1,971.57

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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.