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Finding the Fourth Proportional to 4,646.46, 6,409.52 and 3,053.36

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Solution

The fourth proportional to 4,646.46, 6,409.52 and 3,053.36 is: 4,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.46 : 6,409.52 = 3,053.36 : x
  2. Step 2: Convert to fraction form
    4,646.46/6,409.52 = 3,053.36/x
  3. Step 3: Cross multiply
    4,646.46x = 6,409.52 × 3,053.36
  4. Step 4: Simplify right side
    4,646.46x = 19,570,524.67
  5. Step 5: Solve for x
    x = 19,570,524.67/4,646.46
  6. Step 6: Final answer
    x = 4,211.92

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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.