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Finding the Fourth Proportional to 3,506.76, 5,260.10 and 1,166.94

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Solution

The fourth proportional to 3,506.76, 5,260.10 and 1,166.94 is: 1,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.76 : 5,260.10 = 1,166.94 : x
  2. Step 2: Convert to fraction form
    3,506.76/5,260.10 = 1,166.94/x
  3. Step 3: Cross multiply
    3,506.76x = 5,260.10 × 1,166.94
  4. Step 4: Simplify right side
    3,506.76x = 6,138,215.26
  5. Step 5: Solve for x
    x = 6,138,215.26/3,506.76
  6. Step 6: Final answer
    x = 1,750.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.