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Finding the Fourth Proportional to 4,097.84, 6,148.56 and 2,149.58

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Solution

The fourth proportional to 4,097.84, 6,148.56 and 2,149.58 is: 3,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.84 : 6,148.56 = 2,149.58 : x
  2. Step 2: Convert to fraction form
    4,097.84/6,148.56 = 2,149.58/x
  3. Step 3: Cross multiply
    4,097.84x = 6,148.56 × 2,149.58
  4. Step 4: Simplify right side
    4,097.84x = 13,216,810.86
  5. Step 5: Solve for x
    x = 13,216,810.86/4,097.84
  6. Step 6: Final answer
    x = 3,225.32

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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.