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Finding the Fourth Proportional to 5,603.85, 8,404.16 and 1,904.01

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Solution

The fourth proportional to 5,603.85, 8,404.16 and 1,904.01 is: 2,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.85 : 8,404.16 = 1,904.01 : x
  2. Step 2: Convert to fraction form
    5,603.85/8,404.16 = 1,904.01/x
  3. Step 3: Cross multiply
    5,603.85x = 8,404.16 × 1,904.01
  4. Step 4: Simplify right side
    5,603.85x = 16,001,595.16
  5. Step 5: Solve for x
    x = 16,001,595.16/5,603.85
  6. Step 6: Final answer
    x = 2,855.46

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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.