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Finding the Fourth Proportional to 3,605.99, 5,407.14 and 1,656.50

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Solution

The fourth proportional to 3,605.99, 5,407.14 and 1,656.50 is: 2,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.99 : 5,407.14 = 1,656.50 : x
  2. Step 2: Convert to fraction form
    3,605.99/5,407.14 = 1,656.50/x
  3. Step 3: Cross multiply
    3,605.99x = 5,407.14 × 1,656.50
  4. Step 4: Simplify right side
    3,605.99x = 8,956,927.41
  5. Step 5: Solve for x
    x = 8,956,927.41/3,605.99
  6. Step 6: Final answer
    x = 2,483.90

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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.