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Finding the Fourth Proportional to 4,866.59, 6,717.37 and 4,210.49

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Solution

The fourth proportional to 4,866.59, 6,717.37 and 4,210.49 is: 5,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.59 : 6,717.37 = 4,210.49 : x
  2. Step 2: Convert to fraction form
    4,866.59/6,717.37 = 4,210.49/x
  3. Step 3: Cross multiply
    4,866.59x = 6,717.37 × 4,210.49
  4. Step 4: Simplify right side
    4,866.59x = 28,283,425.48
  5. Step 5: Solve for x
    x = 28,283,425.48/4,866.59
  6. Step 6: Final answer
    x = 5,811.75

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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.