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Finding the Fourth Proportional to 4,648.21, 6,412.93 and 4,294.55

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Solution

The fourth proportional to 4,648.21, 6,412.93 and 4,294.55 is: 5,925.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.21 : 6,412.93 = 4,294.55 : x
  2. Step 2: Convert to fraction form
    4,648.21/6,412.93 = 4,294.55/x
  3. Step 3: Cross multiply
    4,648.21x = 6,412.93 × 4,294.55
  4. Step 4: Simplify right side
    4,648.21x = 27,540,653.83
  5. Step 5: Solve for x
    x = 27,540,653.83/4,648.21
  6. Step 6: Final answer
    x = 5,925.01

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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.