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Finding the Fourth Proportional to 5,095.80, 7,643.70 and 4,674.60

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Solution

The fourth proportional to 5,095.80, 7,643.70 and 4,674.60 is: 7,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.80 : 7,643.70 = 4,674.60 : x
  2. Step 2: Convert to fraction form
    5,095.80/7,643.70 = 4,674.60/x
  3. Step 3: Cross multiply
    5,095.80x = 7,643.70 × 4,674.60
  4. Step 4: Simplify right side
    5,095.80x = 35,731,240.02
  5. Step 5: Solve for x
    x = 35,731,240.02/5,095.80
  6. Step 6: Final answer
    x = 7,011.90

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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.