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Finding the Fourth Proportional to 3,459.42, 4,774 and 1,887.50

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Solution

The fourth proportional to 3,459.42, 4,774 and 1,887.50 is: 2,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.42 : 4,774 = 1,887.50 : x
  2. Step 2: Convert to fraction form
    3,459.42/4,774 = 1,887.50/x
  3. Step 3: Cross multiply
    3,459.42x = 4,774 × 1,887.50
  4. Step 4: Simplify right side
    3,459.42x = 9,010,925
  5. Step 5: Solve for x
    x = 9,010,925/3,459.42
  6. Step 6: Final answer
    x = 2,604.75

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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.