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Finding the Fourth Proportional to 5,006.61, 6,911.73 and 4,675.32

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Solution

The fourth proportional to 5,006.61, 6,911.73 and 4,675.32 is: 6,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.61 : 6,911.73 = 4,675.32 : x
  2. Step 2: Convert to fraction form
    5,006.61/6,911.73 = 4,675.32/x
  3. Step 3: Cross multiply
    5,006.61x = 6,911.73 × 4,675.32
  4. Step 4: Simplify right side
    5,006.61x = 32,314,549.50
  5. Step 5: Solve for x
    x = 32,314,549.50/5,006.61
  6. Step 6: Final answer
    x = 6,454.38

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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.