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Finding the Fourth Proportional to 3,807.70, 5,703.28 and 3,714.77

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Solution

The fourth proportional to 3,807.70, 5,703.28 and 3,714.77 is: 5,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.70 : 5,703.28 = 3,714.77 : x
  2. Step 2: Convert to fraction form
    3,807.70/5,703.28 = 3,714.77/x
  3. Step 3: Cross multiply
    3,807.70x = 5,703.28 × 3,714.77
  4. Step 4: Simplify right side
    3,807.70x = 21,186,373.45
  5. Step 5: Solve for x
    x = 21,186,373.45/3,807.70
  6. Step 6: Final answer
    x = 5,564.09

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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.