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Finding the Fourth Proportional to 5,851.62, 8,032.02 and 5,208.06

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Solution

The fourth proportional to 5,851.62, 8,032.02 and 5,208.06 is: 7,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.62 : 8,032.02 = 5,208.06 : x
  2. Step 2: Convert to fraction form
    5,851.62/8,032.02 = 5,208.06/x
  3. Step 3: Cross multiply
    5,851.62x = 8,032.02 × 5,208.06
  4. Step 4: Simplify right side
    5,851.62x = 41,831,242.08
  5. Step 5: Solve for x
    x = 41,831,242.08/5,851.62
  6. Step 6: Final answer
    x = 7,148.66

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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.