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Finding the Fourth Proportional to 4,457.36, 6,683.80 and 1,683.92

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Solution

The fourth proportional to 4,457.36, 6,683.80 and 1,683.92 is: 2,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.36 : 6,683.80 = 1,683.92 : x
  2. Step 2: Convert to fraction form
    4,457.36/6,683.80 = 1,683.92/x
  3. Step 3: Cross multiply
    4,457.36x = 6,683.80 × 1,683.92
  4. Step 4: Simplify right side
    4,457.36x = 11,254,984.50
  5. Step 5: Solve for x
    x = 11,254,984.50/4,457.36
  6. Step 6: Final answer
    x = 2,525.03

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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.