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Finding the Fourth Proportional to 4,749.47, 6,548.16 and 3,895.58

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Solution

The fourth proportional to 4,749.47, 6,548.16 and 3,895.58 is: 5,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.47 : 6,548.16 = 3,895.58 : x
  2. Step 2: Convert to fraction form
    4,749.47/6,548.16 = 3,895.58/x
  3. Step 3: Cross multiply
    4,749.47x = 6,548.16 × 3,895.58
  4. Step 4: Simplify right side
    4,749.47x = 25,508,881.13
  5. Step 5: Solve for x
    x = 25,508,881.13/4,749.47
  6. Step 6: Final answer
    x = 5,370.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.