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Finding the Fourth Proportional to 4,470.57, 6,706.02 and 1,184.00

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Solution

The fourth proportional to 4,470.57, 6,706.02 and 1,184.00 is: 1,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.57 : 6,706.02 = 1,184.00 : x
  2. Step 2: Convert to fraction form
    4,470.57/6,706.02 = 1,184.00/x
  3. Step 3: Cross multiply
    4,470.57x = 6,706.02 × 1,184.00
  4. Step 4: Simplify right side
    4,470.57x = 7,939,894.15
  5. Step 5: Solve for x
    x = 7,939,894.15/4,470.57
  6. Step 6: Final answer
    x = 1,776.04

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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.