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Finding the Fourth Proportional to 5,765.42, 7,955.74 and 3,407.10

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Solution

The fourth proportional to 5,765.42, 7,955.74 and 3,407.10 is: 4,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.42 : 7,955.74 = 3,407.10 : x
  2. Step 2: Convert to fraction form
    5,765.42/7,955.74 = 3,407.10/x
  3. Step 3: Cross multiply
    5,765.42x = 7,955.74 × 3,407.10
  4. Step 4: Simplify right side
    5,765.42x = 27,106,001.75
  5. Step 5: Solve for x
    x = 27,106,001.75/5,765.42
  6. Step 6: Final answer
    x = 4,701.48

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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.