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Finding the Fourth Proportional to 3,466.46, 4,780.88 and 2,345.63

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Solution

The fourth proportional to 3,466.46, 4,780.88 and 2,345.63 is: 3,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.46 : 4,780.88 = 2,345.63 : x
  2. Step 2: Convert to fraction form
    3,466.46/4,780.88 = 2,345.63/x
  3. Step 3: Cross multiply
    3,466.46x = 4,780.88 × 2,345.63
  4. Step 4: Simplify right side
    3,466.46x = 11,214,157.51
  5. Step 5: Solve for x
    x = 11,214,157.51/3,466.46
  6. Step 6: Final answer
    x = 3,235.04

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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.