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Finding the Fourth Proportional to 4,707.84, 6,496.29 and 2,914.50

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Solution

The fourth proportional to 4,707.84, 6,496.29 and 2,914.50 is: 4,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.84 : 6,496.29 = 2,914.50 : x
  2. Step 2: Convert to fraction form
    4,707.84/6,496.29 = 2,914.50/x
  3. Step 3: Cross multiply
    4,707.84x = 6,496.29 × 2,914.50
  4. Step 4: Simplify right side
    4,707.84x = 18,933,437.21
  5. Step 5: Solve for x
    x = 18,933,437.21/4,707.84
  6. Step 6: Final answer
    x = 4,021.68

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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.