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Finding the Fourth Proportional to 6,071, 8,376.54 and 3,417.88

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Solution

The fourth proportional to 6,071, 8,376.54 and 3,417.88 is: 4,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071 : 8,376.54 = 3,417.88 : x
  2. Step 2: Convert to fraction form
    6,071/8,376.54 = 3,417.88/x
  3. Step 3: Cross multiply
    6,071x = 8,376.54 × 3,417.88
  4. Step 4: Simplify right side
    6,071x = 28,630,008.54
  5. Step 5: Solve for x
    x = 28,630,008.54/6,071
  6. Step 6: Final answer
    x = 4,715.86

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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.