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Finding the Fourth Proportional to 4,646.95, 6,411.23 and 2,969.34

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Solution

The fourth proportional to 4,646.95, 6,411.23 and 2,969.34 is: 4,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.95 : 6,411.23 = 2,969.34 : x
  2. Step 2: Convert to fraction form
    4,646.95/6,411.23 = 2,969.34/x
  3. Step 3: Cross multiply
    4,646.95x = 6,411.23 × 2,969.34
  4. Step 4: Simplify right side
    4,646.95x = 19,037,117.98
  5. Step 5: Solve for x
    x = 19,037,117.98/4,646.95
  6. Step 6: Final answer
    x = 4,096.69

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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.