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Finding the Fourth Proportional to 4,472.51, 6,710.10 and 2,135.48

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Solution

The fourth proportional to 4,472.51, 6,710.10 and 2,135.48 is: 3,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.51 : 6,710.10 = 2,135.48 : x
  2. Step 2: Convert to fraction form
    4,472.51/6,710.10 = 2,135.48/x
  3. Step 3: Cross multiply
    4,472.51x = 6,710.10 × 2,135.48
  4. Step 4: Simplify right side
    4,472.51x = 14,329,284.35
  5. Step 5: Solve for x
    x = 14,329,284.35/4,472.51
  6. Step 6: Final answer
    x = 3,203.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.