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Finding the Fourth Proportional to 5,582, 7,703.11 and 3,064

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Solution

The fourth proportional to 5,582, 7,703.11 and 3,064 is: 4,228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582 : 7,703.11 = 3,064 : x
  2. Step 2: Convert to fraction form
    5,582/7,703.11 = 3,064/x
  3. Step 3: Cross multiply
    5,582x = 7,703.11 × 3,064
  4. Step 4: Simplify right side
    5,582x = 23,602,329.04
  5. Step 5: Solve for x
    x = 23,602,329.04/5,582
  6. Step 6: Final answer
    x = 4,228.29

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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.