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Finding the Fourth Proportional to 5,710.51, 7,880.09 and 3,158.16

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Solution

The fourth proportional to 5,710.51, 7,880.09 and 3,158.16 is: 4,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.51 : 7,880.09 = 3,158.16 : x
  2. Step 2: Convert to fraction form
    5,710.51/7,880.09 = 3,158.16/x
  3. Step 3: Cross multiply
    5,710.51x = 7,880.09 × 3,158.16
  4. Step 4: Simplify right side
    5,710.51x = 24,886,585.03
  5. Step 5: Solve for x
    x = 24,886,585.03/5,710.51
  6. Step 6: Final answer
    x = 4,358.03

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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.