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Finding the Fourth Proportional to 4,970.94, 6,858.48 and 3,459.08

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Solution

The fourth proportional to 4,970.94, 6,858.48 and 3,459.08 is: 4,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.94 : 6,858.48 = 3,459.08 : x
  2. Step 2: Convert to fraction form
    4,970.94/6,858.48 = 3,459.08/x
  3. Step 3: Cross multiply
    4,970.94x = 6,858.48 × 3,459.08
  4. Step 4: Simplify right side
    4,970.94x = 23,723,996.71
  5. Step 5: Solve for x
    x = 23,723,996.71/4,970.94
  6. Step 6: Final answer
    x = 4,772.54

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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.