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Finding the Fourth Proportional to 3,506.40, 4,851.12 and 3,429.60

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Solution

The fourth proportional to 3,506.40, 4,851.12 and 3,429.60 is: 4,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.40 : 4,851.12 = 3,429.60 : x
  2. Step 2: Convert to fraction form
    3,506.40/4,851.12 = 3,429.60/x
  3. Step 3: Cross multiply
    3,506.40x = 4,851.12 × 3,429.60
  4. Step 4: Simplify right side
    3,506.40x = 16,637,401.15
  5. Step 5: Solve for x
    x = 16,637,401.15/3,506.40
  6. Step 6: Final answer
    x = 4,744.87

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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.