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Finding the Fourth Proportional to 4,088.65, 6,133.53 and 1,314.40

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Solution

The fourth proportional to 4,088.65, 6,133.53 and 1,314.40 is: 1,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.65 : 6,133.53 = 1,314.40 : x
  2. Step 2: Convert to fraction form
    4,088.65/6,133.53 = 1,314.40/x
  3. Step 3: Cross multiply
    4,088.65x = 6,133.53 × 1,314.40
  4. Step 4: Simplify right side
    4,088.65x = 8,061,911.83
  5. Step 5: Solve for x
    x = 8,061,911.83/4,088.65
  6. Step 6: Final answer
    x = 1,971.78

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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.