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Finding the Fourth Proportional to 5,364.87, 8,048.04 and 1,666.41

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Solution

The fourth proportional to 5,364.87, 8,048.04 and 1,666.41 is: 2,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.87 : 8,048.04 = 1,666.41 : x
  2. Step 2: Convert to fraction form
    5,364.87/8,048.04 = 1,666.41/x
  3. Step 3: Cross multiply
    5,364.87x = 8,048.04 × 1,666.41
  4. Step 4: Simplify right side
    5,364.87x = 13,411,334.34
  5. Step 5: Solve for x
    x = 13,411,334.34/5,364.87
  6. Step 6: Final answer
    x = 2,499.84

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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.