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Finding the Fourth Proportional to 3,206.76, 4,809.54 and 1,359.18

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Solution

The fourth proportional to 3,206.76, 4,809.54 and 1,359.18 is: 2,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.76 : 4,809.54 = 1,359.18 : x
  2. Step 2: Convert to fraction form
    3,206.76/4,809.54 = 1,359.18/x
  3. Step 3: Cross multiply
    3,206.76x = 4,809.54 × 1,359.18
  4. Step 4: Simplify right side
    3,206.76x = 6,537,030.58
  5. Step 5: Solve for x
    x = 6,537,030.58/3,206.76
  6. Step 6: Final answer
    x = 2,038.52

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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.