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Finding the Fourth Proportional to 3,506.90, 5,258.82 and 1,314.10

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Solution

The fourth proportional to 3,506.90, 5,258.82 and 1,314.10 is: 1,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.90 : 5,258.82 = 1,314.10 : x
  2. Step 2: Convert to fraction form
    3,506.90/5,258.82 = 1,314.10/x
  3. Step 3: Cross multiply
    3,506.90x = 5,258.82 × 1,314.10
  4. Step 4: Simplify right side
    3,506.90x = 6,910,600.99
  5. Step 5: Solve for x
    x = 6,910,600.99/3,506.90
  6. Step 6: Final answer
    x = 1,970.57

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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.