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Finding the Fourth Proportional to 5,488.76, 7,574.49 and 2,970.87

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Solution

The fourth proportional to 5,488.76, 7,574.49 and 2,970.87 is: 4,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.76 : 7,574.49 = 2,970.87 : x
  2. Step 2: Convert to fraction form
    5,488.76/7,574.49 = 2,970.87/x
  3. Step 3: Cross multiply
    5,488.76x = 7,574.49 × 2,970.87
  4. Step 4: Simplify right side
    5,488.76x = 22,502,825.11
  5. Step 5: Solve for x
    x = 22,502,825.11/5,488.76
  6. Step 6: Final answer
    x = 4,099.80

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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.