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Finding the Fourth Proportional to 5,307.81, 7,964.01 and 2,534.51

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Solution

The fourth proportional to 5,307.81, 7,964.01 and 2,534.51 is: 3,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.81 : 7,964.01 = 2,534.51 : x
  2. Step 2: Convert to fraction form
    5,307.81/7,964.01 = 2,534.51/x
  3. Step 3: Cross multiply
    5,307.81x = 7,964.01 × 2,534.51
  4. Step 4: Simplify right side
    5,307.81x = 20,184,823.17
  5. Step 5: Solve for x
    x = 20,184,823.17/5,307.81
  6. Step 6: Final answer
    x = 3,802.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.