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Finding the Fourth Proportional to 5,488.46, 7,574.09 and 2,970.58

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Solution

The fourth proportional to 5,488.46, 7,574.09 and 2,970.58 is: 4,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.46 : 7,574.09 = 2,970.58 : x
  2. Step 2: Convert to fraction form
    5,488.46/7,574.09 = 2,970.58/x
  3. Step 3: Cross multiply
    5,488.46x = 7,574.09 × 2,970.58
  4. Step 4: Simplify right side
    5,488.46x = 22,499,440.27
  5. Step 5: Solve for x
    x = 22,499,440.27/5,488.46
  6. Step 6: Final answer
    x = 4,099.41

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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.