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Finding the Fourth Proportional to 5,048.97, 7,574.45 and 1,762.17

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Solution

The fourth proportional to 5,048.97, 7,574.45 and 1,762.17 is: 2,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.97 : 7,574.45 = 1,762.17 : x
  2. Step 2: Convert to fraction form
    5,048.97/7,574.45 = 1,762.17/x
  3. Step 3: Cross multiply
    5,048.97x = 7,574.45 × 1,762.17
  4. Step 4: Simplify right side
    5,048.97x = 13,347,459.75
  5. Step 5: Solve for x
    x = 13,347,459.75/5,048.97
  6. Step 6: Final answer
    x = 2,643.60

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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.