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Finding the Fourth Proportional to 3,582.96, 5,374.29 and 985.89

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Solution

The fourth proportional to 3,582.96, 5,374.29 and 985.89 is: 1,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.96 : 5,374.29 = 985.89 : x
  2. Step 2: Convert to fraction form
    3,582.96/5,374.29 = 985.89/x
  3. Step 3: Cross multiply
    3,582.96x = 5,374.29 × 985.89
  4. Step 4: Simplify right side
    3,582.96x = 5,298,458.77
  5. Step 5: Solve for x
    x = 5,298,458.77/3,582.96
  6. Step 6: Final answer
    x = 1,478.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.