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Finding the Fourth Proportional to 4,646.17, 6,412.17 and 2,657.02

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Solution

The fourth proportional to 4,646.17, 6,412.17 and 2,657.02 is: 3,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.17 : 6,412.17 = 2,657.02 : x
  2. Step 2: Convert to fraction form
    4,646.17/6,412.17 = 2,657.02/x
  3. Step 3: Cross multiply
    4,646.17x = 6,412.17 × 2,657.02
  4. Step 4: Simplify right side
    4,646.17x = 17,037,263.93
  5. Step 5: Solve for x
    x = 17,037,263.93/4,646.17
  6. Step 6: Final answer
    x = 3,666.95

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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.