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Finding the Fourth Proportional to 4,684.88, 6,465.69 and 3,005.67

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Solution

The fourth proportional to 4,684.88, 6,465.69 and 3,005.67 is: 4,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.88 : 6,465.69 = 3,005.67 : x
  2. Step 2: Convert to fraction form
    4,684.88/6,465.69 = 3,005.67/x
  3. Step 3: Cross multiply
    4,684.88x = 6,465.69 × 3,005.67
  4. Step 4: Simplify right side
    4,684.88x = 19,433,730.46
  5. Step 5: Solve for x
    x = 19,433,730.46/4,684.88
  6. Step 6: Final answer
    x = 4,148.19

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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.