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Finding the Fourth Proportional to 4,497.34, 6,206.08 and 3,435.84

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Solution

The fourth proportional to 4,497.34, 6,206.08 and 3,435.84 is: 4,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.34 : 6,206.08 = 3,435.84 : x
  2. Step 2: Convert to fraction form
    4,497.34/6,206.08 = 3,435.84/x
  3. Step 3: Cross multiply
    4,497.34x = 6,206.08 × 3,435.84
  4. Step 4: Simplify right side
    4,497.34x = 21,323,097.91
  5. Step 5: Solve for x
    x = 21,323,097.91/4,497.34
  6. Step 6: Final answer
    x = 4,741.27

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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.