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Finding the Fourth Proportional to 4,537.84, 6,806.76 and 2,345.44

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Solution

The fourth proportional to 4,537.84, 6,806.76 and 2,345.44 is: 3,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.84 : 6,806.76 = 2,345.44 : x
  2. Step 2: Convert to fraction form
    4,537.84/6,806.76 = 2,345.44/x
  3. Step 3: Cross multiply
    4,537.84x = 6,806.76 × 2,345.44
  4. Step 4: Simplify right side
    4,537.84x = 15,964,847.17
  5. Step 5: Solve for x
    x = 15,964,847.17/4,537.84
  6. Step 6: Final answer
    x = 3,518.16

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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.