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Finding the Fourth Proportional to 4,600.48, 6,347.28 and 4,156.96

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Solution

The fourth proportional to 4,600.48, 6,347.28 and 4,156.96 is: 5,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.48 : 6,347.28 = 4,156.96 : x
  2. Step 2: Convert to fraction form
    4,600.48/6,347.28 = 4,156.96/x
  3. Step 3: Cross multiply
    4,600.48x = 6,347.28 × 4,156.96
  4. Step 4: Simplify right side
    4,600.48x = 26,385,389.07
  5. Step 5: Solve for x
    x = 26,385,389.07/4,600.48
  6. Step 6: Final answer
    x = 5,735.36

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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.