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Finding the Fourth Proportional to 5,695.92, 8,547.98 and 2,409.93

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Solution

The fourth proportional to 5,695.92, 8,547.98 and 2,409.93 is: 3,616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.92 : 8,547.98 = 2,409.93 : x
  2. Step 2: Convert to fraction form
    5,695.92/8,547.98 = 2,409.93/x
  3. Step 3: Cross multiply
    5,695.92x = 8,547.98 × 2,409.93
  4. Step 4: Simplify right side
    5,695.92x = 20,600,021.39
  5. Step 5: Solve for x
    x = 20,600,021.39/5,695.92
  6. Step 6: Final answer
    x = 3,616.63

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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.