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Finding the Fourth Proportional to 4,470.64, 6,706.02 and 2,130.88

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Solution

The fourth proportional to 4,470.64, 6,706.02 and 2,130.88 is: 3,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.64 : 6,706.02 = 2,130.88 : x
  2. Step 2: Convert to fraction form
    4,470.64/6,706.02 = 2,130.88/x
  3. Step 3: Cross multiply
    4,470.64x = 6,706.02 × 2,130.88
  4. Step 4: Simplify right side
    4,470.64x = 14,289,723.90
  5. Step 5: Solve for x
    x = 14,289,723.90/4,470.64
  6. Step 6: Final answer
    x = 3,196.35

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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.