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Finding the Fourth Proportional to 4,682.46, 6,448.64 and 4,580.40

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Solution

The fourth proportional to 4,682.46, 6,448.64 and 4,580.40 is: 6,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.46 : 6,448.64 = 4,580.40 : x
  2. Step 2: Convert to fraction form
    4,682.46/6,448.64 = 4,580.40/x
  3. Step 3: Cross multiply
    4,682.46x = 6,448.64 × 4,580.40
  4. Step 4: Simplify right side
    4,682.46x = 29,537,350.66
  5. Step 5: Solve for x
    x = 29,537,350.66/4,682.46
  6. Step 6: Final answer
    x = 6,308.08

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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.