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Finding the Fourth Proportional to 5,802.02, 8,701.70 and 1,642.46

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Solution

The fourth proportional to 5,802.02, 8,701.70 and 1,642.46 is: 2,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.02 : 8,701.70 = 1,642.46 : x
  2. Step 2: Convert to fraction form
    5,802.02/8,701.70 = 1,642.46/x
  3. Step 3: Cross multiply
    5,802.02x = 8,701.70 × 1,642.46
  4. Step 4: Simplify right side
    5,802.02x = 14,292,194.18
  5. Step 5: Solve for x
    x = 14,292,194.18/5,802.02
  6. Step 6: Final answer
    x = 2,463.31

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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.