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Finding the Fourth Proportional to 4,335.92, 6,501.96 and 1,598

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Solution

The fourth proportional to 4,335.92, 6,501.96 and 1,598 is: 2,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.92 : 6,501.96 = 1,598 : x
  2. Step 2: Convert to fraction form
    4,335.92/6,501.96 = 1,598/x
  3. Step 3: Cross multiply
    4,335.92x = 6,501.96 × 1,598
  4. Step 4: Simplify right side
    4,335.92x = 10,390,132.08
  5. Step 5: Solve for x
    x = 10,390,132.08/4,335.92
  6. Step 6: Final answer
    x = 2,396.29

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Why These Related Problems?

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