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Finding the Fourth Proportional to 5,192.58, 7,816.58 and 4,656.76

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Solution

The fourth proportional to 5,192.58, 7,816.58 and 4,656.76 is: 7,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.58 : 7,816.58 = 4,656.76 : x
  2. Step 2: Convert to fraction form
    5,192.58/7,816.58 = 4,656.76/x
  3. Step 3: Cross multiply
    5,192.58x = 7,816.58 × 4,656.76
  4. Step 4: Simplify right side
    5,192.58x = 36,399,937.08
  5. Step 5: Solve for x
    x = 36,399,937.08/5,192.58
  6. Step 6: Final answer
    x = 7,009.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.