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Finding the Fourth Proportional to 4,466.95, 6,670.35 and 3,646.82

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Solution

The fourth proportional to 4,466.95, 6,670.35 and 3,646.82 is: 5,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.95 : 6,670.35 = 3,646.82 : x
  2. Step 2: Convert to fraction form
    4,466.95/6,670.35 = 3,646.82/x
  3. Step 3: Cross multiply
    4,466.95x = 6,670.35 × 3,646.82
  4. Step 4: Simplify right side
    4,466.95x = 24,325,582.46
  5. Step 5: Solve for x
    x = 24,325,582.46/4,466.95
  6. Step 6: Final answer
    x = 5,445.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.