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Finding the Fourth Proportional to 3,595.64, 5,394.28 and 1,405.00

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Solution

The fourth proportional to 3,595.64, 5,394.28 and 1,405.00 is: 2,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.64 : 5,394.28 = 1,405.00 : x
  2. Step 2: Convert to fraction form
    3,595.64/5,394.28 = 1,405.00/x
  3. Step 3: Cross multiply
    3,595.64x = 5,394.28 × 1,405.00
  4. Step 4: Simplify right side
    3,595.64x = 7,578,946.40
  5. Step 5: Solve for x
    x = 7,578,946.40/3,595.64
  6. Step 6: Final answer
    x = 2,107.81

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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.