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Finding the Fourth Proportional to 4,652.82, 6,420.06 and 4,153.32

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Solution

The fourth proportional to 4,652.82, 6,420.06 and 4,153.32 is: 5,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.82 : 6,420.06 = 4,153.32 : x
  2. Step 2: Convert to fraction form
    4,652.82/6,420.06 = 4,153.32/x
  3. Step 3: Cross multiply
    4,652.82x = 6,420.06 × 4,153.32
  4. Step 4: Simplify right side
    4,652.82x = 26,664,563.60
  5. Step 5: Solve for x
    x = 26,664,563.60/4,652.82
  6. Step 6: Final answer
    x = 5,730.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.