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Finding the Fourth Proportional to 5,895.12, 8,844 and 1,735.08

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Solution

The fourth proportional to 5,895.12, 8,844 and 1,735.08 is: 2,603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.12 : 8,844 = 1,735.08 : x
  2. Step 2: Convert to fraction form
    5,895.12/8,844 = 1,735.08/x
  3. Step 3: Cross multiply
    5,895.12x = 8,844 × 1,735.08
  4. Step 4: Simplify right side
    5,895.12x = 15,345,047.52
  5. Step 5: Solve for x
    x = 15,345,047.52/5,895.12
  6. Step 6: Final answer
    x = 2,603.01

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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.