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Finding the Fourth Proportional to 4,457.36, 6,154.44 and 4,125.62

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Solution

The fourth proportional to 4,457.36, 6,154.44 and 4,125.62 is: 5,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.36 : 6,154.44 = 4,125.62 : x
  2. Step 2: Convert to fraction form
    4,457.36/6,154.44 = 4,125.62/x
  3. Step 3: Cross multiply
    4,457.36x = 6,154.44 × 4,125.62
  4. Step 4: Simplify right side
    4,457.36x = 25,390,880.75
  5. Step 5: Solve for x
    x = 25,390,880.75/4,457.36
  6. Step 6: Final answer
    x = 5,696.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.