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Finding the Fourth Proportional to 3,293.84, 4,547.40 and 2,619.92

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Solution

The fourth proportional to 3,293.84, 4,547.40 and 2,619.92 is: 3,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.84 : 4,547.40 = 2,619.92 : x
  2. Step 2: Convert to fraction form
    3,293.84/4,547.40 = 2,619.92/x
  3. Step 3: Cross multiply
    3,293.84x = 4,547.40 × 2,619.92
  4. Step 4: Simplify right side
    3,293.84x = 11,913,824.21
  5. Step 5: Solve for x
    x = 11,913,824.21/3,293.84
  6. Step 6: Final answer
    x = 3,617.00

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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.