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Finding the Fourth Proportional to 4,170.30, 6,259.77 and 3,120

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Solution

The fourth proportional to 4,170.30, 6,259.77 and 3,120 is: 4,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.30 : 6,259.77 = 3,120 : x
  2. Step 2: Convert to fraction form
    4,170.30/6,259.77 = 3,120/x
  3. Step 3: Cross multiply
    4,170.30x = 6,259.77 × 3,120
  4. Step 4: Simplify right side
    4,170.30x = 19,530,482.40
  5. Step 5: Solve for x
    x = 19,530,482.40/4,170.30
  6. Step 6: Final answer
    x = 4,683.23

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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.