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Finding the Fourth Proportional to 5,769.59, 7,962.03 and 3,117.00

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Solution

The fourth proportional to 5,769.59, 7,962.03 and 3,117.00 is: 4,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.59 : 7,962.03 = 3,117.00 : x
  2. Step 2: Convert to fraction form
    5,769.59/7,962.03 = 3,117.00/x
  3. Step 3: Cross multiply
    5,769.59x = 7,962.03 × 3,117.00
  4. Step 4: Simplify right side
    5,769.59x = 24,817,592.11
  5. Step 5: Solve for x
    x = 24,817,592.11/5,769.59
  6. Step 6: Final answer
    x = 4,301.45

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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.