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Finding the Fourth Proportional to 4,570.86, 6,816.15 and 4,529.28

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Solution

The fourth proportional to 4,570.86, 6,816.15 and 4,529.28 is: 6,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.86 : 6,816.15 = 4,529.28 : x
  2. Step 2: Convert to fraction form
    4,570.86/6,816.15 = 4,529.28/x
  3. Step 3: Cross multiply
    4,570.86x = 6,816.15 × 4,529.28
  4. Step 4: Simplify right side
    4,570.86x = 30,872,251.87
  5. Step 5: Solve for x
    x = 30,872,251.87/4,570.86
  6. Step 6: Final answer
    x = 6,754.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.