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Finding the Fourth Proportional to 5,670.71, 8,506.16 and 1,973.06

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Solution

The fourth proportional to 5,670.71, 8,506.16 and 1,973.06 is: 2,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.71 : 8,506.16 = 1,973.06 : x
  2. Step 2: Convert to fraction form
    5,670.71/8,506.16 = 1,973.06/x
  3. Step 3: Cross multiply
    5,670.71x = 8,506.16 × 1,973.06
  4. Step 4: Simplify right side
    5,670.71x = 16,783,111.65
  5. Step 5: Solve for x
    x = 16,783,111.65/5,670.71
  6. Step 6: Final answer
    x = 2,959.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.