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Finding the Fourth Proportional to 3,505.88, 5,258.10 and 1,656.20

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Solution

The fourth proportional to 3,505.88, 5,258.10 and 1,656.20 is: 2,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.88 : 5,258.10 = 1,656.20 : x
  2. Step 2: Convert to fraction form
    3,505.88/5,258.10 = 1,656.20/x
  3. Step 3: Cross multiply
    3,505.88x = 5,258.10 × 1,656.20
  4. Step 4: Simplify right side
    3,505.88x = 8,708,465.22
  5. Step 5: Solve for x
    x = 8,708,465.22/3,505.88
  6. Step 6: Final answer
    x = 2,483.96

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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.