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Finding the Fourth Proportional to 5,478.02, 7,555.10 and 4,062.14

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Solution

The fourth proportional to 5,478.02, 7,555.10 and 4,062.14 is: 5,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.02 : 7,555.10 = 4,062.14 : x
  2. Step 2: Convert to fraction form
    5,478.02/7,555.10 = 4,062.14/x
  3. Step 3: Cross multiply
    5,478.02x = 7,555.10 × 4,062.14
  4. Step 4: Simplify right side
    5,478.02x = 30,689,873.91
  5. Step 5: Solve for x
    x = 30,689,873.91/5,478.02
  6. Step 6: Final answer
    x = 5,602.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.