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Finding the Fourth Proportional to 4,534.41, 6,802.48 and 1,572.62

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Solution

The fourth proportional to 4,534.41, 6,802.48 and 1,572.62 is: 2,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.41 : 6,802.48 = 1,572.62 : x
  2. Step 2: Convert to fraction form
    4,534.41/6,802.48 = 1,572.62/x
  3. Step 3: Cross multiply
    4,534.41x = 6,802.48 × 1,572.62
  4. Step 4: Simplify right side
    4,534.41x = 10,697,684.05
  5. Step 5: Solve for x
    x = 10,697,684.05/4,534.41
  6. Step 6: Final answer
    x = 2,359.22

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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.