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Finding the Fourth Proportional to 5,009.64, 7,513.12 and 1,887.66

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Solution

The fourth proportional to 5,009.64, 7,513.12 and 1,887.66 is: 2,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.64 : 7,513.12 = 1,887.66 : x
  2. Step 2: Convert to fraction form
    5,009.64/7,513.12 = 1,887.66/x
  3. Step 3: Cross multiply
    5,009.64x = 7,513.12 × 1,887.66
  4. Step 4: Simplify right side
    5,009.64x = 14,182,216.10
  5. Step 5: Solve for x
    x = 14,182,216.10/5,009.64
  6. Step 6: Final answer
    x = 2,830.99

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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.