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Finding the Fourth Proportional to 4,316.95, 6,470.53 and 3,795.95

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Solution

The fourth proportional to 4,316.95, 6,470.53 and 3,795.95 is: 5,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.95 : 6,470.53 = 3,795.95 : x
  2. Step 2: Convert to fraction form
    4,316.95/6,470.53 = 3,795.95/x
  3. Step 3: Cross multiply
    4,316.95x = 6,470.53 × 3,795.95
  4. Step 4: Simplify right side
    4,316.95x = 24,561,808.35
  5. Step 5: Solve for x
    x = 24,561,808.35/4,316.95
  6. Step 6: Final answer
    x = 5,689.62

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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.