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Finding the Fourth Proportional to 4,358.48, 6,493.66 and 4,138.16

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Solution

The fourth proportional to 4,358.48, 6,493.66 and 4,138.16 is: 6,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.48 : 6,493.66 = 4,138.16 : x
  2. Step 2: Convert to fraction form
    4,358.48/6,493.66 = 4,138.16/x
  3. Step 3: Cross multiply
    4,358.48x = 6,493.66 × 4,138.16
  4. Step 4: Simplify right side
    4,358.48x = 26,871,804.07
  5. Step 5: Solve for x
    x = 26,871,804.07/4,358.48
  6. Step 6: Final answer
    x = 6,165.41

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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.