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Finding the Fourth Proportional to 3,666.34, 5,499.52 and 893.01

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Solution

The fourth proportional to 3,666.34, 5,499.52 and 893.01 is: 1,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.34 : 5,499.52 = 893.01 : x
  2. Step 2: Convert to fraction form
    3,666.34/5,499.52 = 893.01/x
  3. Step 3: Cross multiply
    3,666.34x = 5,499.52 × 893.01
  4. Step 4: Simplify right side
    3,666.34x = 4,911,126.36
  5. Step 5: Solve for x
    x = 4,911,126.36/3,666.34
  6. Step 6: Final answer
    x = 1,339.52

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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.