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Finding the Fourth Proportional to 3,656.34, 5,484.42 and 1,059.30

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Solution

The fourth proportional to 3,656.34, 5,484.42 and 1,059.30 is: 1,588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.34 : 5,484.42 = 1,059.30 : x
  2. Step 2: Convert to fraction form
    3,656.34/5,484.42 = 1,059.30/x
  3. Step 3: Cross multiply
    3,656.34x = 5,484.42 × 1,059.30
  4. Step 4: Simplify right side
    3,656.34x = 5,809,646.11
  5. Step 5: Solve for x
    x = 5,809,646.11/3,656.34
  6. Step 6: Final answer
    x = 1,588.92

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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.