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Finding the Fourth Proportional to 5,602.54, 8,406.65 and 2,317.99

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Solution

The fourth proportional to 5,602.54, 8,406.65 and 2,317.99 is: 3,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.54 : 8,406.65 = 2,317.99 : x
  2. Step 2: Convert to fraction form
    5,602.54/8,406.65 = 2,317.99/x
  3. Step 3: Cross multiply
    5,602.54x = 8,406.65 × 2,317.99
  4. Step 4: Simplify right side
    5,602.54x = 19,486,548.75
  5. Step 5: Solve for x
    x = 19,486,548.75/5,602.54
  6. Step 6: Final answer
    x = 3,478.16

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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.