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Finding the Fourth Proportional to 5,097.64, 7,646.51 and 1,810.77

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Solution

The fourth proportional to 5,097.64, 7,646.51 and 1,810.77 is: 2,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.64 : 7,646.51 = 1,810.77 : x
  2. Step 2: Convert to fraction form
    5,097.64/7,646.51 = 1,810.77/x
  3. Step 3: Cross multiply
    5,097.64x = 7,646.51 × 1,810.77
  4. Step 4: Simplify right side
    5,097.64x = 13,846,070.91
  5. Step 5: Solve for x
    x = 13,846,070.91/5,097.64
  6. Step 6: Final answer
    x = 2,716.17

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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.