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Finding the Fourth Proportional to 3,509.49, 4,837.41 and 3,312.66

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Solution

The fourth proportional to 3,509.49, 4,837.41 and 3,312.66 is: 4,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.49 : 4,837.41 = 3,312.66 : x
  2. Step 2: Convert to fraction form
    3,509.49/4,837.41 = 3,312.66/x
  3. Step 3: Cross multiply
    3,509.49x = 4,837.41 × 3,312.66
  4. Step 4: Simplify right side
    3,509.49x = 16,024,694.61
  5. Step 5: Solve for x
    x = 16,024,694.61/3,509.49
  6. Step 6: Final answer
    x = 4,566.10

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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.