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Finding the Fourth Proportional to 3,750.95, 5,178.36 and 2,259.20

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Solution

The fourth proportional to 3,750.95, 5,178.36 and 2,259.20 is: 3,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.95 : 5,178.36 = 2,259.20 : x
  2. Step 2: Convert to fraction form
    3,750.95/5,178.36 = 2,259.20/x
  3. Step 3: Cross multiply
    3,750.95x = 5,178.36 × 2,259.20
  4. Step 4: Simplify right side
    3,750.95x = 11,698,925.02
  5. Step 5: Solve for x
    x = 11,698,925.02/3,750.95
  6. Step 6: Final answer
    x = 3,118.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.