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Finding the Fourth Proportional to 5,133.16, 7,701.18 and 1,670.68

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Solution

The fourth proportional to 5,133.16, 7,701.18 and 1,670.68 is: 2,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.16 : 7,701.18 = 1,670.68 : x
  2. Step 2: Convert to fraction form
    5,133.16/7,701.18 = 1,670.68/x
  3. Step 3: Cross multiply
    5,133.16x = 7,701.18 × 1,670.68
  4. Step 4: Simplify right side
    5,133.16x = 12,866,207.40
  5. Step 5: Solve for x
    x = 12,866,207.40/5,133.16
  6. Step 6: Final answer
    x = 2,506.49

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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.