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Finding the Fourth Proportional to 5,488.67, 7,574.30 and 2,970.72

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Solution

The fourth proportional to 5,488.67, 7,574.30 and 2,970.72 is: 4,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.67 : 7,574.30 = 2,970.72 : x
  2. Step 2: Convert to fraction form
    5,488.67/7,574.30 = 2,970.72/x
  3. Step 3: Cross multiply
    5,488.67x = 7,574.30 × 2,970.72
  4. Step 4: Simplify right side
    5,488.67x = 22,501,124.50
  5. Step 5: Solve for x
    x = 22,501,124.50/5,488.67
  6. Step 6: Final answer
    x = 4,099.56

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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.