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Finding the Fourth Proportional to 4,051.79, 6,074.70 and 1,585.34

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Solution

The fourth proportional to 4,051.79, 6,074.70 and 1,585.34 is: 2,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.79 : 6,074.70 = 1,585.34 : x
  2. Step 2: Convert to fraction form
    4,051.79/6,074.70 = 1,585.34/x
  3. Step 3: Cross multiply
    4,051.79x = 6,074.70 × 1,585.34
  4. Step 4: Simplify right side
    4,051.79x = 9,630,451.36
  5. Step 5: Solve for x
    x = 9,630,451.36/4,051.79
  6. Step 6: Final answer
    x = 2,376.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.