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Finding the Fourth Proportional to 4,335.16, 5,982.56 and 2,345.71

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Solution

The fourth proportional to 4,335.16, 5,982.56 and 2,345.71 is: 3,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.16 : 5,982.56 = 2,345.71 : x
  2. Step 2: Convert to fraction form
    4,335.16/5,982.56 = 2,345.71/x
  3. Step 3: Cross multiply
    4,335.16x = 5,982.56 × 2,345.71
  4. Step 4: Simplify right side
    4,335.16x = 14,033,350.82
  5. Step 5: Solve for x
    x = 14,033,350.82/4,335.16
  6. Step 6: Final answer
    x = 3,237.10

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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.