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Finding the Fourth Proportional to 4,766.85, 6,564.65 and 3,438.45

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Solution

The fourth proportional to 4,766.85, 6,564.65 and 3,438.45 is: 4,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.85 : 6,564.65 = 3,438.45 : x
  2. Step 2: Convert to fraction form
    4,766.85/6,564.65 = 3,438.45/x
  3. Step 3: Cross multiply
    4,766.85x = 6,564.65 × 3,438.45
  4. Step 4: Simplify right side
    4,766.85x = 22,572,203.60
  5. Step 5: Solve for x
    x = 22,572,203.60/4,766.85
  6. Step 6: Final answer
    x = 4,735.25

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