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Finding the Fourth Proportional to 3,314.40, 4,971.60 and 2,953.68

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Solution

The fourth proportional to 3,314.40, 4,971.60 and 2,953.68 is: 4,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.40 : 4,971.60 = 2,953.68 : x
  2. Step 2: Convert to fraction form
    3,314.40/4,971.60 = 2,953.68/x
  3. Step 3: Cross multiply
    3,314.40x = 4,971.60 × 2,953.68
  4. Step 4: Simplify right side
    3,314.40x = 14,684,515.49
  5. Step 5: Solve for x
    x = 14,684,515.49/3,314.40
  6. Step 6: Final answer
    x = 4,430.52

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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.