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Finding the Fourth Proportional to 5,204.57, 7,810.30 and 4,858.57

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Solution

The fourth proportional to 5,204.57, 7,810.30 and 4,858.57 is: 7,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.57 : 7,810.30 = 4,858.57 : x
  2. Step 2: Convert to fraction form
    5,204.57/7,810.30 = 4,858.57/x
  3. Step 3: Cross multiply
    5,204.57x = 7,810.30 × 4,858.57
  4. Step 4: Simplify right side
    5,204.57x = 37,946,905.11
  5. Step 5: Solve for x
    x = 37,946,905.11/5,204.57
  6. Step 6: Final answer
    x = 7,291.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.