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Finding the Fourth Proportional to 5,666.04, 7,816.95 and 4,177.49

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Solution

The fourth proportional to 5,666.04, 7,816.95 and 4,177.49 is: 5,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.04 : 7,816.95 = 4,177.49 : x
  2. Step 2: Convert to fraction form
    5,666.04/7,816.95 = 4,177.49/x
  3. Step 3: Cross multiply
    5,666.04x = 7,816.95 × 4,177.49
  4. Step 4: Simplify right side
    5,666.04x = 32,655,191.37
  5. Step 5: Solve for x
    x = 32,655,191.37/5,666.04
  6. Step 6: Final answer
    x = 5,763.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.