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Finding the Fourth Proportional to 5,607.59, 7,738.49 and 3,089.63

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Solution

The fourth proportional to 5,607.59, 7,738.49 and 3,089.63 is: 4,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.59 : 7,738.49 = 3,089.63 : x
  2. Step 2: Convert to fraction form
    5,607.59/7,738.49 = 3,089.63/x
  3. Step 3: Cross multiply
    5,607.59x = 7,738.49 × 3,089.63
  4. Step 4: Simplify right side
    5,607.59x = 23,909,070.86
  5. Step 5: Solve for x
    x = 23,909,070.86/5,607.59
  6. Step 6: Final answer
    x = 4,263.70

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