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Finding the Fourth Proportional to 4,694.45, 7,041.90 and 1,407.56

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Solution

The fourth proportional to 4,694.45, 7,041.90 and 1,407.56 is: 2,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.45 : 7,041.90 = 1,407.56 : x
  2. Step 2: Convert to fraction form
    4,694.45/7,041.90 = 1,407.56/x
  3. Step 3: Cross multiply
    4,694.45x = 7,041.90 × 1,407.56
  4. Step 4: Simplify right side
    4,694.45x = 9,911,861.55
  5. Step 5: Solve for x
    x = 9,911,861.55/4,694.45
  6. Step 6: Final answer
    x = 2,111.40

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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.