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Finding the Fourth Proportional to 5,884.48, 8,826.30 and 3,417.76

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Solution

The fourth proportional to 5,884.48, 8,826.30 and 3,417.76 is: 5,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.48 : 8,826.30 = 3,417.76 : x
  2. Step 2: Convert to fraction form
    5,884.48/8,826.30 = 3,417.76/x
  3. Step 3: Cross multiply
    5,884.48x = 8,826.30 × 3,417.76
  4. Step 4: Simplify right side
    5,884.48x = 30,166,175.09
  5. Step 5: Solve for x
    x = 30,166,175.09/5,884.48
  6. Step 6: Final answer
    x = 5,126.40

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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.