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Finding the Fourth Proportional to 4,752.50, 6,558.46 and 3,184.34

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Solution

The fourth proportional to 4,752.50, 6,558.46 and 3,184.34 is: 4,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.50 : 6,558.46 = 3,184.34 : x
  2. Step 2: Convert to fraction form
    4,752.50/6,558.46 = 3,184.34/x
  3. Step 3: Cross multiply
    4,752.50x = 6,558.46 × 3,184.34
  4. Step 4: Simplify right side
    4,752.50x = 20,884,366.52
  5. Step 5: Solve for x
    x = 20,884,366.52/4,752.50
  6. Step 6: Final answer
    x = 4,394.40

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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.