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Finding the Fourth Proportional to 3,898.16, 5,848.69 and 2,339.28

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Solution

The fourth proportional to 3,898.16, 5,848.69 and 2,339.28 is: 3,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.16 : 5,848.69 = 2,339.28 : x
  2. Step 2: Convert to fraction form
    3,898.16/5,848.69 = 2,339.28/x
  3. Step 3: Cross multiply
    3,898.16x = 5,848.69 × 2,339.28
  4. Step 4: Simplify right side
    3,898.16x = 13,681,695.76
  5. Step 5: Solve for x
    x = 13,681,695.76/3,898.16
  6. Step 6: Final answer
    x = 3,509.79

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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.