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Finding the Fourth Proportional to 5,604.36, 8,340.38 and 5,417.50

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Solution

The fourth proportional to 5,604.36, 8,340.38 and 5,417.50 is: 8,062.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.36 : 8,340.38 = 5,417.50 : x
  2. Step 2: Convert to fraction form
    5,604.36/8,340.38 = 5,417.50/x
  3. Step 3: Cross multiply
    5,604.36x = 8,340.38 × 5,417.50
  4. Step 4: Simplify right side
    5,604.36x = 45,184,011.90
  5. Step 5: Solve for x
    x = 45,184,011.90/5,604.36
  6. Step 6: Final answer
    x = 8,062.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.