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Finding the Fourth Proportional to 3,973.32, 5,483.16 and 2,294.10

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Solution

The fourth proportional to 3,973.32, 5,483.16 and 2,294.10 is: 3,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.32 : 5,483.16 = 2,294.10 : x
  2. Step 2: Convert to fraction form
    3,973.32/5,483.16 = 2,294.10/x
  3. Step 3: Cross multiply
    3,973.32x = 5,483.16 × 2,294.10
  4. Step 4: Simplify right side
    3,973.32x = 12,578,917.36
  5. Step 5: Solve for x
    x = 12,578,917.36/3,973.32
  6. Step 6: Final answer
    x = 3,165.85

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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.