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Finding the Fourth Proportional to 5,242.99, 7,864.76 and 1,685.40

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Solution

The fourth proportional to 5,242.99, 7,864.76 and 1,685.40 is: 2,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.99 : 7,864.76 = 1,685.40 : x
  2. Step 2: Convert to fraction form
    5,242.99/7,864.76 = 1,685.40/x
  3. Step 3: Cross multiply
    5,242.99x = 7,864.76 × 1,685.40
  4. Step 4: Simplify right side
    5,242.99x = 13,255,266.50
  5. Step 5: Solve for x
    x = 13,255,266.50/5,242.99
  6. Step 6: Final answer
    x = 2,528.19

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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.