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Finding the Fourth Proportional to 4,646.98, 6,415.32 and 3,582.42

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Solution

The fourth proportional to 4,646.98, 6,415.32 and 3,582.42 is: 4,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.98 : 6,415.32 = 3,582.42 : x
  2. Step 2: Convert to fraction form
    4,646.98/6,415.32 = 3,582.42/x
  3. Step 3: Cross multiply
    4,646.98x = 6,415.32 × 3,582.42
  4. Step 4: Simplify right side
    4,646.98x = 22,982,370.67
  5. Step 5: Solve for x
    x = 22,982,370.67/4,646.98
  6. Step 6: Final answer
    x = 4,945.66

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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.