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Finding the Fourth Proportional to 5,046.68, 6,971.09 and 4,210.15

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Solution

The fourth proportional to 5,046.68, 6,971.09 and 4,210.15 is: 5,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.68 : 6,971.09 = 4,210.15 : x
  2. Step 2: Convert to fraction form
    5,046.68/6,971.09 = 4,210.15/x
  3. Step 3: Cross multiply
    5,046.68x = 6,971.09 × 4,210.15
  4. Step 4: Simplify right side
    5,046.68x = 29,349,334.56
  5. Step 5: Solve for x
    x = 29,349,334.56/5,046.68
  6. Step 6: Final answer
    x = 5,815.57

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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.