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Finding the Fourth Proportional to 3,595.65, 5,394.77 and 1,256.00

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Solution

The fourth proportional to 3,595.65, 5,394.77 and 1,256.00 is: 1,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.65 : 5,394.77 = 1,256.00 : x
  2. Step 2: Convert to fraction form
    3,595.65/5,394.77 = 1,256.00/x
  3. Step 3: Cross multiply
    3,595.65x = 5,394.77 × 1,256.00
  4. Step 4: Simplify right side
    3,595.65x = 6,775,817.63
  5. Step 5: Solve for x
    x = 6,775,817.63/3,595.65
  6. Step 6: Final answer
    x = 1,884.45

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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.