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Finding the Fourth Proportional to 6,429.60, 8,875.74 and 3,777.18

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Solution

The fourth proportional to 6,429.60, 8,875.74 and 3,777.18 is: 5,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.60 : 8,875.74 = 3,777.18 : x
  2. Step 2: Convert to fraction form
    6,429.60/8,875.74 = 3,777.18/x
  3. Step 3: Cross multiply
    6,429.60x = 8,875.74 × 3,777.18
  4. Step 4: Simplify right side
    6,429.60x = 33,525,267.61
  5. Step 5: Solve for x
    x = 33,525,267.61/6,429.60
  6. Step 6: Final answer
    x = 5,214.21

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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.