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Finding the Fourth Proportional to 4,656.84, 6,426.54 and 2,561.10

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Solution

The fourth proportional to 4,656.84, 6,426.54 and 2,561.10 is: 3,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.84 : 6,426.54 = 2,561.10 : x
  2. Step 2: Convert to fraction form
    4,656.84/6,426.54 = 2,561.10/x
  3. Step 3: Cross multiply
    4,656.84x = 6,426.54 × 2,561.10
  4. Step 4: Simplify right side
    4,656.84x = 16,459,011.59
  5. Step 5: Solve for x
    x = 16,459,011.59/4,656.84
  6. Step 6: Final answer
    x = 3,534.37

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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.