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Finding the Fourth Proportional to 5,216.51, 7,824.80 and 1,320.93

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Solution

The fourth proportional to 5,216.51, 7,824.80 and 1,320.93 is: 1,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.51 : 7,824.80 = 1,320.93 : x
  2. Step 2: Convert to fraction form
    5,216.51/7,824.80 = 1,320.93/x
  3. Step 3: Cross multiply
    5,216.51x = 7,824.80 × 1,320.93
  4. Step 4: Simplify right side
    5,216.51x = 10,335,967.34
  5. Step 5: Solve for x
    x = 10,335,967.34/5,216.51
  6. Step 6: Final answer
    x = 1,981.40

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