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Finding the Fourth Proportional to 6,160.47, 8,498.70 and 4,038.27

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Solution

The fourth proportional to 6,160.47, 8,498.70 and 4,038.27 is: 5,571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.47 : 8,498.70 = 4,038.27 : x
  2. Step 2: Convert to fraction form
    6,160.47/8,498.70 = 4,038.27/x
  3. Step 3: Cross multiply
    6,160.47x = 8,498.70 × 4,038.27
  4. Step 4: Simplify right side
    6,160.47x = 34,320,045.25
  5. Step 5: Solve for x
    x = 34,320,045.25/6,160.47
  6. Step 6: Final answer
    x = 5,571.01

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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.