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Finding the Fourth Proportional to 4,643.19, 6,407.00 and 2,653.88

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Solution

The fourth proportional to 4,643.19, 6,407.00 and 2,653.88 is: 3,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.19 : 6,407.00 = 2,653.88 : x
  2. Step 2: Convert to fraction form
    4,643.19/6,407.00 = 2,653.88/x
  3. Step 3: Cross multiply
    4,643.19x = 6,407.00 × 2,653.88
  4. Step 4: Simplify right side
    4,643.19x = 17,003,373.81
  5. Step 5: Solve for x
    x = 17,003,373.81/4,643.19
  6. Step 6: Final answer
    x = 3,662.00

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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.