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Finding the Fourth Proportional to 3,646.02, 5,468.99 and 1,337.50

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Solution

The fourth proportional to 3,646.02, 5,468.99 and 1,337.50 is: 2,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.02 : 5,468.99 = 1,337.50 : x
  2. Step 2: Convert to fraction form
    3,646.02/5,468.99 = 1,337.50/x
  3. Step 3: Cross multiply
    3,646.02x = 5,468.99 × 1,337.50
  4. Step 4: Simplify right side
    3,646.02x = 7,314,774.13
  5. Step 5: Solve for x
    x = 7,314,774.13/3,646.02
  6. Step 6: Final answer
    x = 2,006.24

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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.