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Finding the Fourth Proportional to 5,698.94, 7,855.91 and 4,437.77

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Solution

The fourth proportional to 5,698.94, 7,855.91 and 4,437.77 is: 6,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.94 : 7,855.91 = 4,437.77 : x
  2. Step 2: Convert to fraction form
    5,698.94/7,855.91 = 4,437.77/x
  3. Step 3: Cross multiply
    5,698.94x = 7,855.91 × 4,437.77
  4. Step 4: Simplify right side
    5,698.94x = 34,862,660.25
  5. Step 5: Solve for x
    x = 34,862,660.25/5,698.94
  6. Step 6: Final answer
    x = 6,117.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.