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Finding the Fourth Proportional to 3,156.01, 4,356.77 and 1,829.47

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Solution

The fourth proportional to 3,156.01, 4,356.77 and 1,829.47 is: 2,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.01 : 4,356.77 = 1,829.47 : x
  2. Step 2: Convert to fraction form
    3,156.01/4,356.77 = 1,829.47/x
  3. Step 3: Cross multiply
    3,156.01x = 4,356.77 × 1,829.47
  4. Step 4: Simplify right side
    3,156.01x = 7,970,549.08
  5. Step 5: Solve for x
    x = 7,970,549.08/3,156.01
  6. Step 6: Final answer
    x = 2,525.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.