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Finding the Fourth Proportional to 4,457.34, 6,683.04 and 2,992.32

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Solution

The fourth proportional to 4,457.34, 6,683.04 and 2,992.32 is: 4,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.34 : 6,683.04 = 2,992.32 : x
  2. Step 2: Convert to fraction form
    4,457.34/6,683.04 = 2,992.32/x
  3. Step 3: Cross multiply
    4,457.34x = 6,683.04 × 2,992.32
  4. Step 4: Simplify right side
    4,457.34x = 19,997,794.25
  5. Step 5: Solve for x
    x = 19,997,794.25/4,457.34
  6. Step 6: Final answer
    x = 4,486.49

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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.