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Finding the Fourth Proportional to 4,703.54, 6,477.33 and 4,605.62

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Solution

The fourth proportional to 4,703.54, 6,477.33 and 4,605.62 is: 6,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.54 : 6,477.33 = 4,605.62 : x
  2. Step 2: Convert to fraction form
    4,703.54/6,477.33 = 4,605.62/x
  3. Step 3: Cross multiply
    4,703.54x = 6,477.33 × 4,605.62
  4. Step 4: Simplify right side
    4,703.54x = 29,832,120.59
  5. Step 5: Solve for x
    x = 29,832,120.59/4,703.54
  6. Step 6: Final answer
    x = 6,342.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.