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Finding the Fourth Proportional to 4,738.61, 6,535.90 and 4,108.01

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Solution

The fourth proportional to 4,738.61, 6,535.90 and 4,108.01 is: 5,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.61 : 6,535.90 = 4,108.01 : x
  2. Step 2: Convert to fraction form
    4,738.61/6,535.90 = 4,108.01/x
  3. Step 3: Cross multiply
    4,738.61x = 6,535.90 × 4,108.01
  4. Step 4: Simplify right side
    4,738.61x = 26,849,542.56
  5. Step 5: Solve for x
    x = 26,849,542.56/4,738.61
  6. Step 6: Final answer
    x = 5,666.12

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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.