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Finding the Fourth Proportional to 5,049.40, 7,574.04 and 1,762.48

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Solution

The fourth proportional to 5,049.40, 7,574.04 and 1,762.48 is: 2,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.40 : 7,574.04 = 1,762.48 : x
  2. Step 2: Convert to fraction form
    5,049.40/7,574.04 = 1,762.48/x
  3. Step 3: Cross multiply
    5,049.40x = 7,574.04 × 1,762.48
  4. Step 4: Simplify right side
    5,049.40x = 13,349,094.02
  5. Step 5: Solve for x
    x = 13,349,094.02/5,049.40
  6. Step 6: Final answer
    x = 2,643.70

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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.