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Finding the Fourth Proportional to 5,678.34, 7,835.74 and 3,160.32

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Solution

The fourth proportional to 5,678.34, 7,835.74 and 3,160.32 is: 4,361.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.34 : 7,835.74 = 3,160.32 : x
  2. Step 2: Convert to fraction form
    5,678.34/7,835.74 = 3,160.32/x
  3. Step 3: Cross multiply
    5,678.34x = 7,835.74 × 3,160.32
  4. Step 4: Simplify right side
    5,678.34x = 24,763,445.84
  5. Step 5: Solve for x
    x = 24,763,445.84/5,678.34
  6. Step 6: Final answer
    x = 4,361.04

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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.