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Finding the Fourth Proportional to 4,569.68, 6,852.98 and 2,103.16

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Solution

The fourth proportional to 4,569.68, 6,852.98 and 2,103.16 is: 3,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.68 : 6,852.98 = 2,103.16 : x
  2. Step 2: Convert to fraction form
    4,569.68/6,852.98 = 2,103.16/x
  3. Step 3: Cross multiply
    4,569.68x = 6,852.98 × 2,103.16
  4. Step 4: Simplify right side
    4,569.68x = 14,412,868.64
  5. Step 5: Solve for x
    x = 14,412,868.64/4,569.68
  6. Step 6: Final answer
    x = 3,154.02

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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.