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Finding the Fourth Proportional to 3,726.40, 5,130.72 and 3,165.76

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Solution

The fourth proportional to 3,726.40, 5,130.72 and 3,165.76 is: 4,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.40 : 5,130.72 = 3,165.76 : x
  2. Step 2: Convert to fraction form
    3,726.40/5,130.72 = 3,165.76/x
  3. Step 3: Cross multiply
    3,726.40x = 5,130.72 × 3,165.76
  4. Step 4: Simplify right side
    3,726.40x = 16,242,628.15
  5. Step 5: Solve for x
    x = 16,242,628.15/3,726.40
  6. Step 6: Final answer
    x = 4,358.80

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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.