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Finding the Fourth Proportional to 3,389.60, 5,083.58 and 924.43

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Solution

The fourth proportional to 3,389.60, 5,083.58 and 924.43 is: 1,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.60 : 5,083.58 = 924.43 : x
  2. Step 2: Convert to fraction form
    3,389.60/5,083.58 = 924.43/x
  3. Step 3: Cross multiply
    3,389.60x = 5,083.58 × 924.43
  4. Step 4: Simplify right side
    3,389.60x = 4,699,407.79
  5. Step 5: Solve for x
    x = 4,699,407.79/3,389.60
  6. Step 6: Final answer
    x = 1,386.42

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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.