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Finding the Fourth Proportional to 3,137.34, 4,669.05 and 3,020.70

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Solution

The fourth proportional to 3,137.34, 4,669.05 and 3,020.70 is: 4,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.34 : 4,669.05 = 3,020.70 : x
  2. Step 2: Convert to fraction form
    3,137.34/4,669.05 = 3,020.70/x
  3. Step 3: Cross multiply
    3,137.34x = 4,669.05 × 3,020.70
  4. Step 4: Simplify right side
    3,137.34x = 14,103,784.23
  5. Step 5: Solve for x
    x = 14,103,784.23/3,137.34
  6. Step 6: Final answer
    x = 4,495.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.