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Finding the Fourth Proportional to 4,705.54, 6,490.68 and 3,584.50

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Solution

The fourth proportional to 4,705.54, 6,490.68 and 3,584.50 is: 4,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.54 : 6,490.68 = 3,584.50 : x
  2. Step 2: Convert to fraction form
    4,705.54/6,490.68 = 3,584.50/x
  3. Step 3: Cross multiply
    4,705.54x = 6,490.68 × 3,584.50
  4. Step 4: Simplify right side
    4,705.54x = 23,265,842.46
  5. Step 5: Solve for x
    x = 23,265,842.46/4,705.54
  6. Step 6: Final answer
    x = 4,944.35

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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.