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Finding the Fourth Proportional to 4,646.42, 6,411.93 and 2,656.79

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Solution

The fourth proportional to 4,646.42, 6,411.93 and 2,656.79 is: 3,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.42 : 6,411.93 = 2,656.79 : x
  2. Step 2: Convert to fraction form
    4,646.42/6,411.93 = 2,656.79/x
  3. Step 3: Cross multiply
    4,646.42x = 6,411.93 × 2,656.79
  4. Step 4: Simplify right side
    4,646.42x = 17,035,151.50
  5. Step 5: Solve for x
    x = 17,035,151.50/4,646.42
  6. Step 6: Final answer
    x = 3,666.30

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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.