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Finding the Fourth Proportional to 5,365.92, 8,045.96 and 1,666.56

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Solution

The fourth proportional to 5,365.92, 8,045.96 and 1,666.56 is: 2,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.92 : 8,045.96 = 1,666.56 : x
  2. Step 2: Convert to fraction form
    5,365.92/8,045.96 = 1,666.56/x
  3. Step 3: Cross multiply
    5,365.92x = 8,045.96 × 1,666.56
  4. Step 4: Simplify right side
    5,365.92x = 13,409,075.10
  5. Step 5: Solve for x
    x = 13,409,075.10/5,365.92
  6. Step 6: Final answer
    x = 2,498.93

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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.