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Finding the Fourth Proportional to 3,710.34, 5,117.37 and 2,384.16

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Solution

The fourth proportional to 3,710.34, 5,117.37 and 2,384.16 is: 3,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.34 : 5,117.37 = 2,384.16 : x
  2. Step 2: Convert to fraction form
    3,710.34/5,117.37 = 2,384.16/x
  3. Step 3: Cross multiply
    3,710.34x = 5,117.37 × 2,384.16
  4. Step 4: Simplify right side
    3,710.34x = 12,200,628.86
  5. Step 5: Solve for x
    x = 12,200,628.86/3,710.34
  6. Step 6: Final answer
    x = 3,288.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.