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Finding the Fourth Proportional to 3,294.56, 4,547.65 and 2,036.58

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Solution

The fourth proportional to 3,294.56, 4,547.65 and 2,036.58 is: 2,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.56 : 4,547.65 = 2,036.58 : x
  2. Step 2: Convert to fraction form
    3,294.56/4,547.65 = 2,036.58/x
  3. Step 3: Cross multiply
    3,294.56x = 4,547.65 × 2,036.58
  4. Step 4: Simplify right side
    3,294.56x = 9,261,653.04
  5. Step 5: Solve for x
    x = 9,261,653.04/3,294.56
  6. Step 6: Final answer
    x = 2,811.20

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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.