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Finding the Fourth Proportional to 4,475.16, 6,672 and 4,359.84

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Solution

The fourth proportional to 4,475.16, 6,672 and 4,359.84 is: 6,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.16 : 6,672 = 4,359.84 : x
  2. Step 2: Convert to fraction form
    4,475.16/6,672 = 4,359.84/x
  3. Step 3: Cross multiply
    4,475.16x = 6,672 × 4,359.84
  4. Step 4: Simplify right side
    4,475.16x = 29,088,852.48
  5. Step 5: Solve for x
    x = 29,088,852.48/4,475.16
  6. Step 6: Final answer
    x = 6,500.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.