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Finding the Fourth Proportional to 5,707.02, 7,876.47 and 3,349.92

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Solution

The fourth proportional to 5,707.02, 7,876.47 and 3,349.92 is: 4,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.02 : 7,876.47 = 3,349.92 : x
  2. Step 2: Convert to fraction form
    5,707.02/7,876.47 = 3,349.92/x
  3. Step 3: Cross multiply
    5,707.02x = 7,876.47 × 3,349.92
  4. Step 4: Simplify right side
    5,707.02x = 26,385,544.38
  5. Step 5: Solve for x
    x = 26,385,544.38/5,707.02
  6. Step 6: Final answer
    x = 4,623.35

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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.