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Finding the Fourth Proportional to 4,573.92, 6,315.16 and 3,509.84

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Solution

The fourth proportional to 4,573.92, 6,315.16 and 3,509.84 is: 4,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.92 : 6,315.16 = 3,509.84 : x
  2. Step 2: Convert to fraction form
    4,573.92/6,315.16 = 3,509.84/x
  3. Step 3: Cross multiply
    4,573.92x = 6,315.16 × 3,509.84
  4. Step 4: Simplify right side
    4,573.92x = 22,165,201.17
  5. Step 5: Solve for x
    x = 22,165,201.17/4,573.92
  6. Step 6: Final answer
    x = 4,846.00

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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.