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Finding the Fourth Proportional to 4,718.96, 7,071.74 and 3,476.64

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Solution

The fourth proportional to 4,718.96, 7,071.74 and 3,476.64 is: 5,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.96 : 7,071.74 = 3,476.64 : x
  2. Step 2: Convert to fraction form
    4,718.96/7,071.74 = 3,476.64/x
  3. Step 3: Cross multiply
    4,718.96x = 7,071.74 × 3,476.64
  4. Step 4: Simplify right side
    4,718.96x = 24,585,894.15
  5. Step 5: Solve for x
    x = 24,585,894.15/4,718.96
  6. Step 6: Final answer
    x = 5,210.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.