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Finding the Fourth Proportional to 5,357.68, 8,035.90 and 1,461.76

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Solution

The fourth proportional to 5,357.68, 8,035.90 and 1,461.76 is: 2,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.68 : 8,035.90 = 1,461.76 : x
  2. Step 2: Convert to fraction form
    5,357.68/8,035.90 = 1,461.76/x
  3. Step 3: Cross multiply
    5,357.68x = 8,035.90 × 1,461.76
  4. Step 4: Simplify right side
    5,357.68x = 11,746,557.18
  5. Step 5: Solve for x
    x = 11,746,557.18/5,357.68
  6. Step 6: Final answer
    x = 2,192.47

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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.