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Finding the Fourth Proportional to 3,542.73, 4,888.53 and 1,970.93

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Solution

The fourth proportional to 3,542.73, 4,888.53 and 1,970.93 is: 2,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.73 : 4,888.53 = 1,970.93 : x
  2. Step 2: Convert to fraction form
    3,542.73/4,888.53 = 1,970.93/x
  3. Step 3: Cross multiply
    3,542.73x = 4,888.53 × 1,970.93
  4. Step 4: Simplify right side
    3,542.73x = 9,634,925.99
  5. Step 5: Solve for x
    x = 9,634,925.99/3,542.73
  6. Step 6: Final answer
    x = 2,719.63

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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.