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Finding the Fourth Proportional to 5,756.04, 7,946.64 and 3,870.36

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Solution

The fourth proportional to 5,756.04, 7,946.64 and 3,870.36 is: 5,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.04 : 7,946.64 = 3,870.36 : x
  2. Step 2: Convert to fraction form
    5,756.04/7,946.64 = 3,870.36/x
  3. Step 3: Cross multiply
    5,756.04x = 7,946.64 × 3,870.36
  4. Step 4: Simplify right side
    5,756.04x = 30,756,357.59
  5. Step 5: Solve for x
    x = 30,756,357.59/5,756.04
  6. Step 6: Final answer
    x = 5,343.32

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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.