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Finding the Fourth Proportional to 4,780.36, 6,578.92 and 4,044

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Solution

The fourth proportional to 4,780.36, 6,578.92 and 4,044 is: 5,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.36 : 6,578.92 = 4,044 : x
  2. Step 2: Convert to fraction form
    4,780.36/6,578.92 = 4,044/x
  3. Step 3: Cross multiply
    4,780.36x = 6,578.92 × 4,044
  4. Step 4: Simplify right side
    4,780.36x = 26,605,152.48
  5. Step 5: Solve for x
    x = 26,605,152.48/4,780.36
  6. Step 6: Final answer
    x = 5,565.51

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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.