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Finding the Fourth Proportional to 4,675.16, 6,460.27 and 4,447.37

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Solution

The fourth proportional to 4,675.16, 6,460.27 and 4,447.37 is: 6,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.16 : 6,460.27 = 4,447.37 : x
  2. Step 2: Convert to fraction form
    4,675.16/6,460.27 = 4,447.37/x
  3. Step 3: Cross multiply
    4,675.16x = 6,460.27 × 4,447.37
  4. Step 4: Simplify right side
    4,675.16x = 28,731,167.57
  5. Step 5: Solve for x
    x = 28,731,167.57/4,675.16
  6. Step 6: Final answer
    x = 6,145.50

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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.