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Finding the Fourth Proportional to 4,670.65, 7,005.98 and 2,035.99

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Solution

The fourth proportional to 4,670.65, 7,005.98 and 2,035.99 is: 3,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.65 : 7,005.98 = 2,035.99 : x
  2. Step 2: Convert to fraction form
    4,670.65/7,005.98 = 2,035.99/x
  3. Step 3: Cross multiply
    4,670.65x = 7,005.98 × 2,035.99
  4. Step 4: Simplify right side
    4,670.65x = 14,264,105.22
  5. Step 5: Solve for x
    x = 14,264,105.22/4,670.65
  6. Step 6: Final answer
    x = 3,053.99

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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.