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Finding the Fourth Proportional to 5,970.12, 8,247.06 and 5,678.52

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Solution

The fourth proportional to 5,970.12, 8,247.06 and 5,678.52 is: 7,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.12 : 8,247.06 = 5,678.52 : x
  2. Step 2: Convert to fraction form
    5,970.12/8,247.06 = 5,678.52/x
  3. Step 3: Cross multiply
    5,970.12x = 8,247.06 × 5,678.52
  4. Step 4: Simplify right side
    5,970.12x = 46,831,095.15
  5. Step 5: Solve for x
    x = 46,831,095.15/5,970.12
  6. Step 6: Final answer
    x = 7,844.25

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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.