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Finding the Fourth Proportional to 5,594, 7,720.04 and 3,110.16

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Solution

The fourth proportional to 5,594, 7,720.04 and 3,110.16 is: 4,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594 : 7,720.04 = 3,110.16 : x
  2. Step 2: Convert to fraction form
    5,594/7,720.04 = 3,110.16/x
  3. Step 3: Cross multiply
    5,594x = 7,720.04 × 3,110.16
  4. Step 4: Simplify right side
    5,594x = 24,010,559.61
  5. Step 5: Solve for x
    x = 24,010,559.61/5,594
  6. Step 6: Final answer
    x = 4,292.20

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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.