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Finding the Fourth Proportional to 3,430.54, 4,734.18 and 1,858.67

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Solution

The fourth proportional to 3,430.54, 4,734.18 and 1,858.67 is: 2,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.54 : 4,734.18 = 1,858.67 : x
  2. Step 2: Convert to fraction form
    3,430.54/4,734.18 = 1,858.67/x
  3. Step 3: Cross multiply
    3,430.54x = 4,734.18 × 1,858.67
  4. Step 4: Simplify right side
    3,430.54x = 8,799,245.38
  5. Step 5: Solve for x
    x = 8,799,245.38/3,430.54
  6. Step 6: Final answer
    x = 2,564.98

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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.