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Finding the Fourth Proportional to 4,539.24, 6,804 and 2,345.76

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Solution

The fourth proportional to 4,539.24, 6,804 and 2,345.76 is: 3,516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.24 : 6,804 = 2,345.76 : x
  2. Step 2: Convert to fraction form
    4,539.24/6,804 = 2,345.76/x
  3. Step 3: Cross multiply
    4,539.24x = 6,804 × 2,345.76
  4. Step 4: Simplify right side
    4,539.24x = 15,960,551.04
  5. Step 5: Solve for x
    x = 15,960,551.04/4,539.24
  6. Step 6: Final answer
    x = 3,516.13

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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.