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Finding the Fourth Proportional to 4,643.02, 6,409.05 and 3,158.62

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Solution

The fourth proportional to 4,643.02, 6,409.05 and 3,158.62 is: 4,360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.02 : 6,409.05 = 3,158.62 : x
  2. Step 2: Convert to fraction form
    4,643.02/6,409.05 = 3,158.62/x
  3. Step 3: Cross multiply
    4,643.02x = 6,409.05 × 3,158.62
  4. Step 4: Simplify right side
    4,643.02x = 20,243,753.51
  5. Step 5: Solve for x
    x = 20,243,753.51/4,643.02
  6. Step 6: Final answer
    x = 4,360.04

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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.