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Finding the Fourth Proportional to 4,927.96, 7,389.96 and 1,807.24

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Solution

The fourth proportional to 4,927.96, 7,389.96 and 1,807.24 is: 2,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.96 : 7,389.96 = 1,807.24 : x
  2. Step 2: Convert to fraction form
    4,927.96/7,389.96 = 1,807.24/x
  3. Step 3: Cross multiply
    4,927.96x = 7,389.96 × 1,807.24
  4. Step 4: Simplify right side
    4,927.96x = 13,355,431.31
  5. Step 5: Solve for x
    x = 13,355,431.31/4,927.96
  6. Step 6: Final answer
    x = 2,710.13

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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.