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Finding the Fourth Proportional to 4,554.64, 6,833.68 and 2,362

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Solution

The fourth proportional to 4,554.64, 6,833.68 and 2,362 is: 3,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.64 : 6,833.68 = 2,362 : x
  2. Step 2: Convert to fraction form
    4,554.64/6,833.68 = 2,362/x
  3. Step 3: Cross multiply
    4,554.64x = 6,833.68 × 2,362
  4. Step 4: Simplify right side
    4,554.64x = 16,141,152.16
  5. Step 5: Solve for x
    x = 16,141,152.16/4,554.64
  6. Step 6: Final answer
    x = 3,543.89

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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.