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Finding the Fourth Proportional to 4,341.84, 6,510.06 and 2,264.19

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Solution

The fourth proportional to 4,341.84, 6,510.06 and 2,264.19 is: 3,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.84 : 6,510.06 = 2,264.19 : x
  2. Step 2: Convert to fraction form
    4,341.84/6,510.06 = 2,264.19/x
  3. Step 3: Cross multiply
    4,341.84x = 6,510.06 × 2,264.19
  4. Step 4: Simplify right side
    4,341.84x = 14,740,012.75
  5. Step 5: Solve for x
    x = 14,740,012.75/4,341.84
  6. Step 6: Final answer
    x = 3,394.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.