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Finding the Fourth Proportional to 4,761.60, 6,564.02 and 3,341.00

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Solution

The fourth proportional to 4,761.60, 6,564.02 and 3,341.00 is: 4,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.60 : 6,564.02 = 3,341.00 : x
  2. Step 2: Convert to fraction form
    4,761.60/6,564.02 = 3,341.00/x
  3. Step 3: Cross multiply
    4,761.60x = 6,564.02 × 3,341.00
  4. Step 4: Simplify right side
    4,761.60x = 21,930,341.29
  5. Step 5: Solve for x
    x = 21,930,341.29/4,761.60
  6. Step 6: Final answer
    x = 4,605.67

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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.