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Finding the Fourth Proportional to 4,854.90, 6,711.70 and 4,810.50

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Solution

The fourth proportional to 4,854.90, 6,711.70 and 4,810.50 is: 6,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.90 : 6,711.70 = 4,810.50 : x
  2. Step 2: Convert to fraction form
    4,854.90/6,711.70 = 4,810.50/x
  3. Step 3: Cross multiply
    4,854.90x = 6,711.70 × 4,810.50
  4. Step 4: Simplify right side
    4,854.90x = 32,286,632.85
  5. Step 5: Solve for x
    x = 32,286,632.85/4,854.90
  6. Step 6: Final answer
    x = 6,650.32

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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.