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Finding the Fourth Proportional to 5,488.64, 7,574.32 and 2,970.75

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Solution

The fourth proportional to 5,488.64, 7,574.32 and 2,970.75 is: 4,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.64 : 7,574.32 = 2,970.75 : x
  2. Step 2: Convert to fraction form
    5,488.64/7,574.32 = 2,970.75/x
  3. Step 3: Cross multiply
    5,488.64x = 7,574.32 × 2,970.75
  4. Step 4: Simplify right side
    5,488.64x = 22,501,443.26
  5. Step 5: Solve for x
    x = 22,501,443.26/5,488.64
  6. Step 6: Final answer
    x = 4,099.64

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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.