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Finding the Fourth Proportional to 3,459.64, 4,774.40 and 1,887.76

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Solution

The fourth proportional to 3,459.64, 4,774.40 and 1,887.76 is: 2,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.64 : 4,774.40 = 1,887.76 : x
  2. Step 2: Convert to fraction form
    3,459.64/4,774.40 = 1,887.76/x
  3. Step 3: Cross multiply
    3,459.64x = 4,774.40 × 1,887.76
  4. Step 4: Simplify right side
    3,459.64x = 9,012,921.34
  5. Step 5: Solve for x
    x = 9,012,921.34/3,459.64
  6. Step 6: Final answer
    x = 2,605.16

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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.