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Finding the Fourth Proportional to 3,296.81, 4,547.54 and 2,038.25

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Solution

The fourth proportional to 3,296.81, 4,547.54 and 2,038.25 is: 2,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.81 : 4,547.54 = 2,038.25 : x
  2. Step 2: Convert to fraction form
    3,296.81/4,547.54 = 2,038.25/x
  3. Step 3: Cross multiply
    3,296.81x = 4,547.54 × 2,038.25
  4. Step 4: Simplify right side
    3,296.81x = 9,269,005.76
  5. Step 5: Solve for x
    x = 9,269,005.76/3,296.81
  6. Step 6: Final answer
    x = 2,811.51

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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.