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Finding the Fourth Proportional to 5,870.49, 8,805.79 and 4,697.58

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Solution

The fourth proportional to 5,870.49, 8,805.79 and 4,697.58 is: 7,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.49 : 8,805.79 = 4,697.58 : x
  2. Step 2: Convert to fraction form
    5,870.49/8,805.79 = 4,697.58/x
  3. Step 3: Cross multiply
    5,870.49x = 8,805.79 × 4,697.58
  4. Step 4: Simplify right side
    5,870.49x = 41,365,902.99
  5. Step 5: Solve for x
    x = 41,365,902.99/5,870.49
  6. Step 6: Final answer
    x = 7,046.41

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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.