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Finding the Fourth Proportional to 5,888.42, 8,126.16 and 3,236

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Solution

The fourth proportional to 5,888.42, 8,126.16 and 3,236 is: 4,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.42 : 8,126.16 = 3,236 : x
  2. Step 2: Convert to fraction form
    5,888.42/8,126.16 = 3,236/x
  3. Step 3: Cross multiply
    5,888.42x = 8,126.16 × 3,236
  4. Step 4: Simplify right side
    5,888.42x = 26,296,253.76
  5. Step 5: Solve for x
    x = 26,296,253.76/5,888.42
  6. Step 6: Final answer
    x = 4,465.76

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Why These Related Problems?

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