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Finding the Fourth Proportional to 4,672, 7,004.76 and 2,823.58

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Solution

The fourth proportional to 4,672, 7,004.76 and 2,823.58 is: 4,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672 : 7,004.76 = 2,823.58 : x
  2. Step 2: Convert to fraction form
    4,672/7,004.76 = 2,823.58/x
  3. Step 3: Cross multiply
    4,672x = 7,004.76 × 2,823.58
  4. Step 4: Simplify right side
    4,672x = 19,778,500.24
  5. Step 5: Solve for x
    x = 19,778,500.24/4,672
  6. Step 6: Final answer
    x = 4,233.41

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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.