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Finding the Fourth Proportional to 4,646.59, 6,412.73 and 2,656.76

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Solution

The fourth proportional to 4,646.59, 6,412.73 and 2,656.76 is: 3,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.59 : 6,412.73 = 2,656.76 : x
  2. Step 2: Convert to fraction form
    4,646.59/6,412.73 = 2,656.76/x
  3. Step 3: Cross multiply
    4,646.59x = 6,412.73 × 2,656.76
  4. Step 4: Simplify right side
    4,646.59x = 17,037,039.21
  5. Step 5: Solve for x
    x = 17,037,039.21/4,646.59
  6. Step 6: Final answer
    x = 3,666.57

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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.