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Finding the Fourth Proportional to 4,531.30, 6,358.40 and 4,531.30

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Solution

The fourth proportional to 4,531.30, 6,358.40 and 4,531.30 is: 6,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.30 : 6,358.40 = 4,531.30 : x
  2. Step 2: Convert to fraction form
    4,531.30/6,358.40 = 4,531.30/x
  3. Step 3: Cross multiply
    4,531.30x = 6,358.40 × 4,531.30
  4. Step 4: Simplify right side
    4,531.30x = 28,811,817.92
  5. Step 5: Solve for x
    x = 28,811,817.92/4,531.30
  6. Step 6: Final answer
    x = 6,358.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.