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Finding the Fourth Proportional to 5,488.51, 7,574.15 and 2,970.63

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Solution

The fourth proportional to 5,488.51, 7,574.15 and 2,970.63 is: 4,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.51 : 7,574.15 = 2,970.63 : x
  2. Step 2: Convert to fraction form
    5,488.51/7,574.15 = 2,970.63/x
  3. Step 3: Cross multiply
    5,488.51x = 7,574.15 × 2,970.63
  4. Step 4: Simplify right side
    5,488.51x = 22,499,997.21
  5. Step 5: Solve for x
    x = 22,499,997.21/5,488.51
  6. Step 6: Final answer
    x = 4,099.47

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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.