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Finding the Fourth Proportional to 3,505.31, 5,254.22 and 1,746.85

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Solution

The fourth proportional to 3,505.31, 5,254.22 and 1,746.85 is: 2,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.31 : 5,254.22 = 1,746.85 : x
  2. Step 2: Convert to fraction form
    3,505.31/5,254.22 = 1,746.85/x
  3. Step 3: Cross multiply
    3,505.31x = 5,254.22 × 1,746.85
  4. Step 4: Simplify right side
    3,505.31x = 9,178,312.34
  5. Step 5: Solve for x
    x = 9,178,312.34/3,505.31
  6. Step 6: Final answer
    x = 2,618.40

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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.