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Finding the Fourth Proportional to 5,049.40, 7,574.10 and 1,971.40

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Solution

The fourth proportional to 5,049.40, 7,574.10 and 1,971.40 is: 2,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.40 : 7,574.10 = 1,971.40 : x
  2. Step 2: Convert to fraction form
    5,049.40/7,574.10 = 1,971.40/x
  3. Step 3: Cross multiply
    5,049.40x = 7,574.10 × 1,971.40
  4. Step 4: Simplify right side
    5,049.40x = 14,931,580.74
  5. Step 5: Solve for x
    x = 14,931,580.74/5,049.40
  6. Step 6: Final answer
    x = 2,957.10

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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.