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Finding the Fourth Proportional to 4,684.34, 6,455.51 and 3,355.74

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Solution

The fourth proportional to 4,684.34, 6,455.51 and 3,355.74 is: 4,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.34 : 6,455.51 = 3,355.74 : x
  2. Step 2: Convert to fraction form
    4,684.34/6,455.51 = 3,355.74/x
  3. Step 3: Cross multiply
    4,684.34x = 6,455.51 × 3,355.74
  4. Step 4: Simplify right side
    4,684.34x = 21,663,008.93
  5. Step 5: Solve for x
    x = 21,663,008.93/4,684.34
  6. Step 6: Final answer
    x = 4,624.56

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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.