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Finding the Fourth Proportional to 5,206.16, 7,794.80 and 4,054.16

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Solution

The fourth proportional to 5,206.16, 7,794.80 and 4,054.16 is: 6,070.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.16 : 7,794.80 = 4,054.16 : x
  2. Step 2: Convert to fraction form
    5,206.16/7,794.80 = 4,054.16/x
  3. Step 3: Cross multiply
    5,206.16x = 7,794.80 × 4,054.16
  4. Step 4: Simplify right side
    5,206.16x = 31,601,366.37
  5. Step 5: Solve for x
    x = 31,601,366.37/5,206.16
  6. Step 6: Final answer
    x = 6,070.00

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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.