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Finding the Fourth Proportional to 5,488.16, 7,573.36 and 3,004

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Solution

The fourth proportional to 5,488.16, 7,573.36 and 3,004 is: 4,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.16 : 7,573.36 = 3,004 : x
  2. Step 2: Convert to fraction form
    5,488.16/7,573.36 = 3,004/x
  3. Step 3: Cross multiply
    5,488.16x = 7,573.36 × 3,004
  4. Step 4: Simplify right side
    5,488.16x = 22,750,373.44
  5. Step 5: Solve for x
    x = 22,750,373.44/5,488.16
  6. Step 6: Final answer
    x = 4,145.36

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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.