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Finding the Fourth Proportional to 4,686.40, 6,996.32 and 4,168

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Solution

The fourth proportional to 4,686.40, 6,996.32 and 4,168 is: 6,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.40 : 6,996.32 = 4,168 : x
  2. Step 2: Convert to fraction form
    4,686.40/6,996.32 = 4,168/x
  3. Step 3: Cross multiply
    4,686.40x = 6,996.32 × 4,168
  4. Step 4: Simplify right side
    4,686.40x = 29,160,661.76
  5. Step 5: Solve for x
    x = 29,160,661.76/4,686.40
  6. Step 6: Final answer
    x = 6,222.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.