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Finding the Fourth Proportional to 4,210.70, 6,316.06 and 1,090.48

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Solution

The fourth proportional to 4,210.70, 6,316.06 and 1,090.48 is: 1,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.70 : 6,316.06 = 1,090.48 : x
  2. Step 2: Convert to fraction form
    4,210.70/6,316.06 = 1,090.48/x
  3. Step 3: Cross multiply
    4,210.70x = 6,316.06 × 1,090.48
  4. Step 4: Simplify right side
    4,210.70x = 6,887,550.40
  5. Step 5: Solve for x
    x = 6,887,550.40/4,210.70
  6. Step 6: Final answer
    x = 1,635.73

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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.