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Finding the Fourth Proportional to 3,138.08, 4,707.24 and 1,597.28

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Solution

The fourth proportional to 3,138.08, 4,707.24 and 1,597.28 is: 2,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.08 : 4,707.24 = 1,597.28 : x
  2. Step 2: Convert to fraction form
    3,138.08/4,707.24 = 1,597.28/x
  3. Step 3: Cross multiply
    3,138.08x = 4,707.24 × 1,597.28
  4. Step 4: Simplify right side
    3,138.08x = 7,518,780.31
  5. Step 5: Solve for x
    x = 7,518,780.31/3,138.08
  6. Step 6: Final answer
    x = 2,395.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.