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Finding the Fourth Proportional to 3,506.59, 5,258.34 and 1,313.78

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Solution

The fourth proportional to 3,506.59, 5,258.34 and 1,313.78 is: 1,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.59 : 5,258.34 = 1,313.78 : x
  2. Step 2: Convert to fraction form
    3,506.59/5,258.34 = 1,313.78/x
  3. Step 3: Cross multiply
    3,506.59x = 5,258.34 × 1,313.78
  4. Step 4: Simplify right side
    3,506.59x = 6,908,301.93
  5. Step 5: Solve for x
    x = 6,908,301.93/3,506.59
  6. Step 6: Final answer
    x = 1,970.09

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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.