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Finding the Fourth Proportional to 4,927.13, 7,391.80 and 1,807.07

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Solution

The fourth proportional to 4,927.13, 7,391.80 and 1,807.07 is: 2,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.13 : 7,391.80 = 1,807.07 : x
  2. Step 2: Convert to fraction form
    4,927.13/7,391.80 = 1,807.07/x
  3. Step 3: Cross multiply
    4,927.13x = 7,391.80 × 1,807.07
  4. Step 4: Simplify right side
    4,927.13x = 13,357,500.03
  5. Step 5: Solve for x
    x = 13,357,500.03/4,927.13
  6. Step 6: Final answer
    x = 2,711.01

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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.