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Finding the Fourth Proportional to 4,426.40, 6,646.08 and 4,102.40

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Solution

The fourth proportional to 4,426.40, 6,646.08 and 4,102.40 is: 6,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426.40 : 6,646.08 = 4,102.40 : x
  2. Step 2: Convert to fraction form
    4,426.40/6,646.08 = 4,102.40/x
  3. Step 3: Cross multiply
    4,426.40x = 6,646.08 × 4,102.40
  4. Step 4: Simplify right side
    4,426.40x = 27,264,878.59
  5. Step 5: Solve for x
    x = 27,264,878.59/4,426.40
  6. Step 6: Final answer
    x = 6,159.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.