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Finding the Fourth Proportional to 5,130.24, 7,693.47 and 1,842.45

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Solution

The fourth proportional to 5,130.24, 7,693.47 and 1,842.45 is: 2,763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.24 : 7,693.47 = 1,842.45 : x
  2. Step 2: Convert to fraction form
    5,130.24/7,693.47 = 1,842.45/x
  3. Step 3: Cross multiply
    5,130.24x = 7,693.47 × 1,842.45
  4. Step 4: Simplify right side
    5,130.24x = 14,174,833.80
  5. Step 5: Solve for x
    x = 14,174,833.80/5,130.24
  6. Step 6: Final answer
    x = 2,763.00

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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.