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Finding the Fourth Proportional to 3,652.74, 5,477.46 and 1,705.50

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Solution

The fourth proportional to 3,652.74, 5,477.46 and 1,705.50 is: 2,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.74 : 5,477.46 = 1,705.50 : x
  2. Step 2: Convert to fraction form
    3,652.74/5,477.46 = 1,705.50/x
  3. Step 3: Cross multiply
    3,652.74x = 5,477.46 × 1,705.50
  4. Step 4: Simplify right side
    3,652.74x = 9,341,808.03
  5. Step 5: Solve for x
    x = 9,341,808.03/3,652.74
  6. Step 6: Final answer
    x = 2,557.48

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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.