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Finding the Fourth Proportional to 3,389.32, 5,083.90 and 924.28

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Solution

The fourth proportional to 3,389.32, 5,083.90 and 924.28 is: 1,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.32 : 5,083.90 = 924.28 : x
  2. Step 2: Convert to fraction form
    3,389.32/5,083.90 = 924.28/x
  3. Step 3: Cross multiply
    3,389.32x = 5,083.90 × 924.28
  4. Step 4: Simplify right side
    3,389.32x = 4,698,947.09
  5. Step 5: Solve for x
    x = 4,698,947.09/3,389.32
  6. Step 6: Final answer
    x = 1,386.40

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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.