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Finding the Fourth Proportional to 4,630.04, 6,385.02 and 4,290.68

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Solution

The fourth proportional to 4,630.04, 6,385.02 and 4,290.68 is: 5,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.04 : 6,385.02 = 4,290.68 : x
  2. Step 2: Convert to fraction form
    4,630.04/6,385.02 = 4,290.68/x
  3. Step 3: Cross multiply
    4,630.04x = 6,385.02 × 4,290.68
  4. Step 4: Simplify right side
    4,630.04x = 27,396,077.61
  5. Step 5: Solve for x
    x = 27,396,077.61/4,630.04
  6. Step 6: Final answer
    x = 5,917.03

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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.