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Finding the Fourth Proportional to 3,542.43, 4,888.64 and 1,970.63

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Solution

The fourth proportional to 3,542.43, 4,888.64 and 1,970.63 is: 2,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.43 : 4,888.64 = 1,970.63 : x
  2. Step 2: Convert to fraction form
    3,542.43/4,888.64 = 1,970.63/x
  3. Step 3: Cross multiply
    3,542.43x = 4,888.64 × 1,970.63
  4. Step 4: Simplify right side
    3,542.43x = 9,633,666.35
  5. Step 5: Solve for x
    x = 9,633,666.35/3,542.43
  6. Step 6: Final answer
    x = 2,719.51

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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.