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Finding the Fourth Proportional to 5,798.12, 8,006.72 and 3,705.89

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Solution

The fourth proportional to 5,798.12, 8,006.72 and 3,705.89 is: 5,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.12 : 8,006.72 = 3,705.89 : x
  2. Step 2: Convert to fraction form
    5,798.12/8,006.72 = 3,705.89/x
  3. Step 3: Cross multiply
    5,798.12x = 8,006.72 × 3,705.89
  4. Step 4: Simplify right side
    5,798.12x = 29,671,965.02
  5. Step 5: Solve for x
    x = 29,671,965.02/5,798.12
  6. Step 6: Final answer
    x = 5,117.52

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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.