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Finding the Fourth Proportional to 5,298.56, 7,948.74 and 1,835

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Solution

The fourth proportional to 5,298.56, 7,948.74 and 1,835 is: 2,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.56 : 7,948.74 = 1,835 : x
  2. Step 2: Convert to fraction form
    5,298.56/7,948.74 = 1,835/x
  3. Step 3: Cross multiply
    5,298.56x = 7,948.74 × 1,835
  4. Step 4: Simplify right side
    5,298.56x = 14,585,937.90
  5. Step 5: Solve for x
    x = 14,585,937.90/5,298.56
  6. Step 6: Final answer
    x = 2,752.81

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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.