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Finding the Fourth Proportional to 4,646.60, 6,400.47 and 4,340.42

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Solution

The fourth proportional to 4,646.60, 6,400.47 and 4,340.42 is: 5,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.60 : 6,400.47 = 4,340.42 : x
  2. Step 2: Convert to fraction form
    4,646.60/6,400.47 = 4,340.42/x
  3. Step 3: Cross multiply
    4,646.60x = 6,400.47 × 4,340.42
  4. Step 4: Simplify right side
    4,646.60x = 27,780,728.00
  5. Step 5: Solve for x
    x = 27,780,728.00/4,646.60
  6. Step 6: Final answer
    x = 5,978.72

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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.