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Finding the Fourth Proportional to 5,802.24, 8,699.30 and 1,852.20

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Solution

The fourth proportional to 5,802.24, 8,699.30 and 1,852.20 is: 2,777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.24 : 8,699.30 = 1,852.20 : x
  2. Step 2: Convert to fraction form
    5,802.24/8,699.30 = 1,852.20/x
  3. Step 3: Cross multiply
    5,802.24x = 8,699.30 × 1,852.20
  4. Step 4: Simplify right side
    5,802.24x = 16,112,843.46
  5. Step 5: Solve for x
    x = 16,112,843.46/5,802.24
  6. Step 6: Final answer
    x = 2,777.00

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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.