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Finding the Fourth Proportional to 6,110.64, 8,432.02 and 3,458

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Solution

The fourth proportional to 6,110.64, 8,432.02 and 3,458 is: 4,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110.64 : 8,432.02 = 3,458 : x
  2. Step 2: Convert to fraction form
    6,110.64/8,432.02 = 3,458/x
  3. Step 3: Cross multiply
    6,110.64x = 8,432.02 × 3,458
  4. Step 4: Simplify right side
    6,110.64x = 29,157,925.16
  5. Step 5: Solve for x
    x = 29,157,925.16/6,110.64
  6. Step 6: Final answer
    x = 4,771.66

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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.