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Finding the Fourth Proportional to 5,868.02, 8,802.30 and 2,405

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Solution

The fourth proportional to 5,868.02, 8,802.30 and 2,405 is: 3,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.02 : 8,802.30 = 2,405 : x
  2. Step 2: Convert to fraction form
    5,868.02/8,802.30 = 2,405/x
  3. Step 3: Cross multiply
    5,868.02x = 8,802.30 × 2,405
  4. Step 4: Simplify right side
    5,868.02x = 21,169,531.50
  5. Step 5: Solve for x
    x = 21,169,531.50/5,868.02
  6. Step 6: Final answer
    x = 3,607.61

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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.