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Finding the Fourth Proportional to 3,459.93, 4,774.64 and 1,888.05

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Solution

The fourth proportional to 3,459.93, 4,774.64 and 1,888.05 is: 2,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.93 : 4,774.64 = 1,888.05 : x
  2. Step 2: Convert to fraction form
    3,459.93/4,774.64 = 1,888.05/x
  3. Step 3: Cross multiply
    3,459.93x = 4,774.64 × 1,888.05
  4. Step 4: Simplify right side
    3,459.93x = 9,014,749.61
  5. Step 5: Solve for x
    x = 9,014,749.61/3,459.93
  6. Step 6: Final answer
    x = 2,605.47

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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.