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Finding the Fourth Proportional to 3,762.75, 5,186.12 and 3,537.03

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Solution

The fourth proportional to 3,762.75, 5,186.12 and 3,537.03 is: 4,875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.75 : 5,186.12 = 3,537.03 : x
  2. Step 2: Convert to fraction form
    3,762.75/5,186.12 = 3,537.03/x
  3. Step 3: Cross multiply
    3,762.75x = 5,186.12 × 3,537.03
  4. Step 4: Simplify right side
    3,762.75x = 18,343,444.34
  5. Step 5: Solve for x
    x = 18,343,444.34/3,762.75
  6. Step 6: Final answer
    x = 4,875.01

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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.