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Finding the Fourth Proportional to 4,152.99, 5,730.47 and 2,474.35

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Solution

The fourth proportional to 4,152.99, 5,730.47 and 2,474.35 is: 3,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.99 : 5,730.47 = 2,474.35 : x
  2. Step 2: Convert to fraction form
    4,152.99/5,730.47 = 2,474.35/x
  3. Step 3: Cross multiply
    4,152.99x = 5,730.47 × 2,474.35
  4. Step 4: Simplify right side
    4,152.99x = 14,179,176.07
  5. Step 5: Solve for x
    x = 14,179,176.07/4,152.99
  6. Step 6: Final answer
    x = 3,414.21

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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.