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Finding the Fourth Proportional to 3,504.39, 5,256.69 and 1,312.71

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Solution

The fourth proportional to 3,504.39, 5,256.69 and 1,312.71 is: 1,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.39 : 5,256.69 = 1,312.71 : x
  2. Step 2: Convert to fraction form
    3,504.39/5,256.69 = 1,312.71/x
  3. Step 3: Cross multiply
    3,504.39x = 5,256.69 × 1,312.71
  4. Step 4: Simplify right side
    3,504.39x = 6,900,509.53
  5. Step 5: Solve for x
    x = 6,900,509.53/3,504.39
  6. Step 6: Final answer
    x = 1,969.10

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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.