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Finding the Fourth Proportional to 5,488.74, 7,574.40 and 2,970.79

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Solution

The fourth proportional to 5,488.74, 7,574.40 and 2,970.79 is: 4,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.74 : 7,574.40 = 2,970.79 : x
  2. Step 2: Convert to fraction form
    5,488.74/7,574.40 = 2,970.79/x
  3. Step 3: Cross multiply
    5,488.74x = 7,574.40 × 2,970.79
  4. Step 4: Simplify right side
    5,488.74x = 22,501,932.84
  5. Step 5: Solve for x
    x = 22,501,932.84/5,488.74
  6. Step 6: Final answer
    x = 4,099.65

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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.