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Finding the Fourth Proportional to 5,582.16, 7,703.08 and 3,098

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Solution

The fourth proportional to 5,582.16, 7,703.08 and 3,098 is: 4,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.16 : 7,703.08 = 3,098 : x
  2. Step 2: Convert to fraction form
    5,582.16/7,703.08 = 3,098/x
  3. Step 3: Cross multiply
    5,582.16x = 7,703.08 × 3,098
  4. Step 4: Simplify right side
    5,582.16x = 23,864,141.84
  5. Step 5: Solve for x
    x = 23,864,141.84/5,582.16
  6. Step 6: Final answer
    x = 4,275.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.