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Finding the Fourth Proportional to 4,739.48, 6,526.14 and 3,741.56

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Solution

The fourth proportional to 4,739.48, 6,526.14 and 3,741.56 is: 5,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.48 : 6,526.14 = 3,741.56 : x
  2. Step 2: Convert to fraction form
    4,739.48/6,526.14 = 3,741.56/x
  3. Step 3: Cross multiply
    4,739.48x = 6,526.14 × 3,741.56
  4. Step 4: Simplify right side
    4,739.48x = 24,417,944.38
  5. Step 5: Solve for x
    x = 24,417,944.38/4,739.48
  6. Step 6: Final answer
    x = 5,152.03

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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.