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Finding the Fourth Proportional to 5,902.88, 8,109.53 and 5,281.64

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Solution

The fourth proportional to 5,902.88, 8,109.53 and 5,281.64 is: 7,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.88 : 8,109.53 = 5,281.64 : x
  2. Step 2: Convert to fraction form
    5,902.88/8,109.53 = 5,281.64/x
  3. Step 3: Cross multiply
    5,902.88x = 8,109.53 × 5,281.64
  4. Step 4: Simplify right side
    5,902.88x = 42,831,551.07
  5. Step 5: Solve for x
    x = 42,831,551.07/5,902.88
  6. Step 6: Final answer
    x = 7,256.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.