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Finding the Fourth Proportional to 4,686.23, 7,040.24 and 4,434.29

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Solution

The fourth proportional to 4,686.23, 7,040.24 and 4,434.29 is: 6,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.23 : 7,040.24 = 4,434.29 : x
  2. Step 2: Convert to fraction form
    4,686.23/7,040.24 = 4,434.29/x
  3. Step 3: Cross multiply
    4,686.23x = 7,040.24 × 4,434.29
  4. Step 4: Simplify right side
    4,686.23x = 31,218,408.46
  5. Step 5: Solve for x
    x = 31,218,408.46/4,686.23
  6. Step 6: Final answer
    x = 6,661.74

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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.