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Finding the Fourth Proportional to 5,697.81, 7,862.94 and 3,307.59

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Solution

The fourth proportional to 5,697.81, 7,862.94 and 3,307.59 is: 4,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.81 : 7,862.94 = 3,307.59 : x
  2. Step 2: Convert to fraction form
    5,697.81/7,862.94 = 3,307.59/x
  3. Step 3: Cross multiply
    5,697.81x = 7,862.94 × 3,307.59
  4. Step 4: Simplify right side
    5,697.81x = 26,007,381.71
  5. Step 5: Solve for x
    x = 26,007,381.71/5,697.81
  6. Step 6: Final answer
    x = 4,564.45

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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.