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Finding the Fourth Proportional to 4,971.68, 7,457.54 and 1,684.80

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Solution

The fourth proportional to 4,971.68, 7,457.54 and 1,684.80 is: 2,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.68 : 7,457.54 = 1,684.80 : x
  2. Step 2: Convert to fraction form
    4,971.68/7,457.54 = 1,684.80/x
  3. Step 3: Cross multiply
    4,971.68x = 7,457.54 × 1,684.80
  4. Step 4: Simplify right side
    4,971.68x = 12,564,463.39
  5. Step 5: Solve for x
    x = 12,564,463.39/4,971.68
  6. Step 6: Final answer
    x = 2,527.21

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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.