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Finding the Fourth Proportional to 5,048.98, 7,574.09 and 1,671.91

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Solution

The fourth proportional to 5,048.98, 7,574.09 and 1,671.91 is: 2,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.98 : 7,574.09 = 1,671.91 : x
  2. Step 2: Convert to fraction form
    5,048.98/7,574.09 = 1,671.91/x
  3. Step 3: Cross multiply
    5,048.98x = 7,574.09 × 1,671.91
  4. Step 4: Simplify right side
    5,048.98x = 12,663,196.81
  5. Step 5: Solve for x
    x = 12,663,196.81/5,048.98
  6. Step 6: Final answer
    x = 2,508.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.