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Finding the Fourth Proportional to 4,646, 6,409.92 and 2,655.12

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Solution

The fourth proportional to 4,646, 6,409.92 and 2,655.12 is: 3,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646 : 6,409.92 = 2,655.12 : x
  2. Step 2: Convert to fraction form
    4,646/6,409.92 = 2,655.12/x
  3. Step 3: Cross multiply
    4,646x = 6,409.92 × 2,655.12
  4. Step 4: Simplify right side
    4,646x = 17,019,106.79
  5. Step 5: Solve for x
    x = 17,019,106.79/4,646
  6. Step 6: Final answer
    x = 3,663.17

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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.