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Finding the Fourth Proportional to 3,420.66, 4,713.54 and 2,358.75

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Solution

The fourth proportional to 3,420.66, 4,713.54 and 2,358.75 is: 3,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.66 : 4,713.54 = 2,358.75 : x
  2. Step 2: Convert to fraction form
    3,420.66/4,713.54 = 2,358.75/x
  3. Step 3: Cross multiply
    3,420.66x = 4,713.54 × 2,358.75
  4. Step 4: Simplify right side
    3,420.66x = 11,118,084.57
  5. Step 5: Solve for x
    x = 11,118,084.57/3,420.66
  6. Step 6: Final answer
    x = 3,250.27

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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.