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Finding the Fourth Proportional to 4,548.32, 6,782.92 and 4,044.35

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Solution

The fourth proportional to 4,548.32, 6,782.92 and 4,044.35 is: 6,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.32 : 6,782.92 = 4,044.35 : x
  2. Step 2: Convert to fraction form
    4,548.32/6,782.92 = 4,044.35/x
  3. Step 3: Cross multiply
    4,548.32x = 6,782.92 × 4,044.35
  4. Step 4: Simplify right side
    4,548.32x = 27,432,448.37
  5. Step 5: Solve for x
    x = 27,432,448.37/4,548.32
  6. Step 6: Final answer
    x = 6,031.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.